Simplify

Problem 5101

Convert the expression $\sin \left(\tan ^{-1} u\right)$ into an algebraic form in terms of $u$ .

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Problem 5102

Convert the trigonometric expression $\sin \left(\tan ^{-1} u\right)$ to an algebraic form in $u$ .

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Problem 5103

Find the value of $\sin ^{-1}\left[\sin \left(\frac{3 \pi}{5}\right)\right]$ .

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Problem 5104

Simplify $\sqrt{28 x^{10} y^{11}}$ to the form $a \sqrt{b}$ . $\sqrt{28 x^{10} y^{11}}=$

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Problem 5105

Factorise $3 x^{3}-3 x^{2}-(1-x)$

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Problem 5106

1. Simplify the expression ( 5 points): $\quad[4(s-4)-9]+[G(s-1)+6]$

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Problem 5107

Question For the functions $f(x)=2 x+5$ and $g(x)=5 x^{2}$ , find $(f \circ g)(x)$ .
Provide your answer below:

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Problem 5108

Simplify $\frac{30}{12}$ as far as possible. Leave your answer as an improper fraction.

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Problem 5109

What fraction of this shape is shaded? Give your answer in its lowest terms.

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Problem 5110

What fraction of this shape is shaded? Give your answer in its lowest terms.

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Problem 5111

What is $\frac{12}{22}+\frac{1}{11}$ ? Give your answer in its lowest terms.

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Problem 5112

Question Wat
Factor the expression completely. $x^{4}+x^{2}-72$
Answer Attempt I out of 2

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Problem 5113

9. (a) Factorise $5 a^{2}-3 a-14$ by using cross method. (2 mark (b) Hence, factorise $5(x-2)^{2}-3(x-2)-14$ (a) $5 a^{2}-3 a-14$ $=(5 a+7)(a-2)$ $+(1 \mathrm{M}$ for showing cross method) (b) Let $a$ be $(x-2)$ (4 marks) (1M) $\begin{aligned} \therefore & 5(x-2)^{2}-3(x-2)-14 \\ & =[5(x-2)+7][(x-2)-2)] \\ & =[5 x-10+7](x-4) \\ & =(5 x-3)(x-4) \end{aligned}$
10. Determine whether $\frac{3 x-1}{4}-\frac{2 x+5}{3}=\frac{x-23}{12}$ is an identity. L. H.S. $=\frac{3 x-1}{4}-\frac{2 x+5}{3}$ (4 marks) $\begin{array}{l} =\frac{3(3 x-1)}{12}-\frac{4(2 x+5)}{12} \\ =\frac{9 x-3-8 x-20}{12} \\ =\frac{x-23}{12} \\ =\text { R. H.S. } \end{array}$ $\therefore$ It is an identity. (1 ft)
11. If $5 x^{2}-(A+B) x+B \equiv(C x+3)(x-4)$ , where $A, B$ and $C$ are constants, find $A, B$ and $C$ . ( 5 marks) $\begin{array}{l} \text { L.H.S. }=5 x^{2}-(A+B) x+B \\ \text { R.H.S. }=(C x+3)(x-4) \\ =C x^{2}-4 C x+3 x-12 \\ =C x^{2}+(3-4 C) x-12 \\ \therefore 5 x^{2}-(A+B) x+B \equiv C x^{2}+(3-4 C) x-12 \end{array}$
Comparing the like terms on both sides, we have $\begin{array}{c} B=-12, \quad C=5 \\ -(A+B)=3-4 C \\ -A-B=3-4 C \\ -A-(-12)=3-4(5) \\ A=29 \end{array}$ (2A for all correct, 1 A for 2 correct)
12. Simplify $\frac{4 m+6 m^{2}}{15 n} \div \frac{-2 n-3 m n}{(5 m+2 n)(5 m-2 n)} \times \frac{6 m n}{8 n-20 m}$ . (5 marks) $\begin{array}{l} \frac{4 m+6 m^{2}}{15 n} \div \frac{-2 n-3 m n}{(5 m+2 n)(5 m-2 n)} \times \frac{6 m n}{8 n-20 m} \\ =\frac{4 m+6 m^{2}}{15 n} \times \frac{(5 m+2 n)(5 m-2 n)}{-2 n-3 m n} \times \frac{6 m n}{8 n-20 m} \\ =\frac{2 m(2+3 m)}{15 n} \times \frac{(5 m+2 n)(5 m-2 n)}{-n(2+3 m)} \times \frac{6 m n}{4(2 n-5 m)} \\ =\frac{m^{2}(5 m+2 n)}{5 n} \end{array}$

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Problem 5114

1. NO CALCULATOR
This expression is used to calculate the taxes on Marta's monthly earnings, where $c$ represents the commission on her sales. Which expression is equivalent? $\frac{1}{3}(1650+0.15 c)$
$1,650.33+0.48 c$ $550+0.15 c$ $550+0.05 c$ $4,950+0.45 c$

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Problem 5115

Question 4 of 10 Which choice is equivalent to the product below? $\sqrt{8} \cdot \sqrt{5}$ A. $10 \sqrt{2}$ B. $\sqrt{13}$ C. $2 \sqrt{10}$ D. $4 \sqrt{10}$

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Problem 5116

Which of the following expressions is NOT equivalent to $\sin 75^{\circ}$ ? a. $\sin 45^{\circ}+\sin 30^{\circ}$ b. $\sin \left(45^{\circ}+30^{\circ}\right)$ c. $\sin 45^{\circ} \cos 30^{\circ}+\sin 30^{\circ} \cos 45^{\circ}$ d. $\sin 105^{\circ}$
2. Simplify the expression $\frac{\tan \frac{5 \pi}{8}-\tan \frac{3 \pi}{8}}{1+\tan \frac{5 \pi}{8} \tan \frac{3 \pi}{8}}$ . A. 0 o. undefined b. 1 d. -1
3. Which expression is a proper simplification of $2 \sin \frac{x}{2} \cos \frac{x}{2}$ ?
4. Pactor the expression $81-16 \sin ^{2} \theta$ . a. $(9-4 \sin \theta)^{2}$ c. $\left(3-2 \sin ^{2} \theta\right)^{4}$ я. $\sin \frac{x}{2}$ b. $3\left(27-5 \sin ^{2} \theta\right)$ d. $(9+4 \sin \theta)(9-4 \sin \theta)$ b. $\sin (4 x)$ c. $\sin (2 x)$ d. $\sin x$

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Problem 5117

Question 10 of 10 Which choices are equivalent to the quotient below? Check all that apply. $\frac{\sqrt{12}}{\sqrt{6}}$ A. $\frac{\sqrt{6}}{2}$ B. $\frac{2}{\sqrt{3}}$ C. $\frac{\sqrt{4}}{\sqrt{2}}$ D. 2 E. $\frac{\sqrt{5}}{\sqrt{2}}$ F. $\sqrt{2}$

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Problem 5118

Question 2 of 10 Write $\sqrt{a^{8} a^{3}}$ as an algebraic expression using a rational exponent. A. $a^{12}$ B. $a^{11 / 3}$ c. $a^{2 / 24}$ D. $a^{11 / 2}$

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Problem 5119

Question 9 of 10 What is the value of the expression below? $\left(81^{2}\right)^{18}$ A. 27 B. 3 C. 9 D. 1

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Problem 5120

Express the following equation in logarithmic form. $15^{-2}=\frac{1}{225}$
Answer $\log _{\frac{1}{23}} 15=-2$ $\log _{15}-2=\frac{1}{225}$ $\log _{-2} \frac{1}{225}=15$ $\log _{15} \frac{1}{225}=-2$

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Problem 5121

Sionplify the foumsing sows $\begin{array}{l} f(A, 3, c, D)=\operatorname{En}(2,3,12,13,14,15) \end{array}$

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Problem 5122

2. $4 \frac{1}{3} \div \frac{2}{3}$

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Problem 5123

$9 \frac{4}{5} \div 7$

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Problem 5124

6. $3 \frac{5}{9} \div 16$

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Problem 5125

$21 \div 5 \frac{1}{4}$

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Problem 5126

Round the distance from the pitcher's mound to home plate (18.38 m) to the nearest hundredth using a number line.

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Problem 5127

What is the result of $9.1 \div 10^{2}$ ?

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Problem 5128

Simplify the expression: $\frac{20 \sqrt{3}}{5 \sqrt{3}}$ .

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Problem 5129

Simplify the expression $\frac{\sqrt{72}}{\sqrt{2}}$ .

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Problem 5130

Simplify the expression: $\frac{2}{1-\sqrt{2}}$ .

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Problem 5131

Calculate $6 \times 8 \div 4 - 2$ .

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Problem 5132

Calculate the expression $(5-3)+2 \times 4$ .

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Problem 5133

Calculate the expression: $(16 \div 8 + 8) - 1$ .

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Problem 5134

Calculate the value of the expression: $32-(12-6 \times 2)$ .

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Problem 5135

Calculate the result of $12 - 3 \times (5 - 2) \div 3$ .

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Problem 5136

Rewrite $x(x-y)^{5}-y(x-y)^{5}$ as $(x-y)^{a}$ and find the value of $a$ .

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Problem 5137

Multiply. $(z+8)(z-8)$
Simplify your answer.

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Problem 5138

Muliplying conjugate binomials: Univariate
Multiply. $(4-d)(4+d)$
Simplify your answer.

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Problem 5139

Cuotient of expressions involving expon
Simplify. $\frac{z^{3} x^{6}}{z^{5} x^{6}}$

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Problem 5140

Simplify. $\frac{x^{5} y^{4}}{x^{3} y^{6}}$

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Problem 5141

www-awu.aleks.com/alekscgi/x/lsl.exe/1o_u
Exponants and Pefyromials Introduction to the power rules of exponente
Simplifi. $\left(x^{2}\right)^{3}$
Write your answer without parentheses.

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Problem 5142

Multiply. $3 \cdot \frac{4}{-8} \cdot \frac{-1}{9}$
Write your answer in simplest form.

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Problem 5143

Multiply. $\frac{-1}{7} \cdot(-3) \cdot \frac{3}{-8}$
Write your answer in simplest form.

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Problem 5144

Rewrite the following without an exponent. $\left(\frac{8}{9}\right)^{-1}$

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Problem 5145

26.
Simplify the expression $\frac{6 n^{2}+36 n^{2}}{6 n^{3}-54 n^{2}}$ . A. $\frac{2}{3}$ $\equiv \quad \frac{2}{3} n \neq 0$ c. $\frac{n 16}{n-9}, n \neq 0$ $2 \frac{n+6}{n-9}, n \neq 9$

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Problem 5146

27) Evaluate the expression without a calculator. $\ln e^{4}$

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Problem 5147

Multiply. $2 x-2 w^{9} \cdot 7 x^{6} w^{9}$
Simplify your answer as much as possible.

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Problem 5148

11. The partial fractional decomposition of the expression $\frac{3 x^{2}-2 x+1}{x^{4}-16}$ is (a) $\frac{A}{x+2}+\frac{B}{x-2}+\frac{C}{x^{2}+4}$ . (b) $\frac{A}{x+2}+\frac{B}{x-2}+\frac{C x+D}{x^{2}+4}$ . (c) $\frac{A x+B}{x^{2}-4}+\frac{C x+D}{x^{2}+4}$ . (d) $\frac{B}{x+2}+\frac{B}{x-2}+\frac{C}{(x+2)^{2}}+\frac{D}{(x-2)^{2}}$ . (e) $\frac{A+B x+C x^{2}+D x^{3}}{x^{4}-16}$ .

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Problem 5149

Simplify $\frac{5}{2 a+b}+\frac{5}{2 a-b}$

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Problem 5150

K12 K12 K12 OLS Login My Info K12 Customer Supp... Newrow Support 5 of 5
Match the simplified expression with the correct problem. $\begin{array}{c} \frac{3}{4}(8 x+16) \\ 2 x-5 x+5-4 \\ \hline x+x+x+3+5-2 \\ \hline 3+2(2 x+5) \end{array}$ $9 x-2$ $4 x+13$ $-3 x+1$ $6 x+12$ $3 x+6$

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Problem 5151

Simplify $5 b^{4} \times 5 b$

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Problem 5152

P'education nationale Oujda Angad Lycée Salam Oujda En Mathématiques Exercice 1 : (2points) Factoriser les expressions suivantes : 1 pt $A=4 x^{2}-(x-1)^{2}$ 1 pt $B=x^{2}-27$

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Problem 5153

Jeana's calculator display shows the number to the right. a. Express this number in scientific notation. b. Express this number in standard form. a. The number written in scientific notation is $\square$ . (Use scientific notation. Use the multiplication symbol in the math palette as needed,)

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Problem 5154

fare lo stesso per $(\sqrt{2}-\sqrt{3})^{-1}$ .

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Problem 5155

Multiplicación de fracciones. $\frac{5}{18} \cdot \frac{3}{10}$
SOLUCIÓN $\frac{5}{18} \cdot \frac{3}{10}=\frac{5 \cdot 3}{18 \cdot 10}=\frac{15}{180}=\frac{1 \cdot 15}{12 \cdot 15}=\frac{1}{12}$

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Problem 5156

Write as an exponential equation. $\log _{5} 5=1$

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Problem 5157

and the logarithm fully using the properties of logs. Express is of $\log x, \log y$ , and $\log z$ . $\log \frac{x}{y^{3} z^{4}}$

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Problem 5158

Exercice 6 (3pts) Décomposer les fractions rationnelles suivantes; $f(x)=\frac{x}{x^{2}-4} \quad ; \quad g(x)=\frac{2 x^{3}+x^{2}-x+1}{x^{2}-2 x+1} \quad \text { et } h(x)=\frac{x^{5}+x^{4}+1}{x^{3}-x}$

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Problem 5159

r with a positive exponent. c) $\left(-9^{4}\right)^{-1}$ f) $\left[\left(7^{-3}\right)^{-2}\right]^{-2}$

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Problem 5160

1. Rewrite each expression as an equivalent expression with a positive exponen a) $5^{-4}$ c) $\frac{1}{2^{-4}}$ e) $\left(\frac{3}{11}\right)^{-1}$ b) $\left(-\frac{1}{10}\right)^{-3}$ d) $-\left(\frac{6}{5}\right)^{-3}$ f) $\frac{7^{-2}}{8^{-1}}$
2. Write each expression as a single power with a positive exponent. a) $(-10)^{8}(-10)^{-8}$ c) $\frac{2^{8}}{2^{-5}}$ e) $\left(-9^{4}\right)^{-1}$ b) $6^{-7} \times 6^{5}$ d) $\frac{11^{-3}}{11^{5}}$ f) $\left[\left(7^{-3}\right)^{-2}\right]^{-2}$
3. Which is the greater power, $2^{-5}$ or $\left(\frac{1}{2}\right)^{-5}$ ? Explain.

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Problem 5161

Divide. Write your answer as a fraction or mixed number in simplest form. $-\frac{21}{28} \div\left(-\frac{7}{4}\right)$

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Problem 5162

Add. Write your answer in simplest form. $-2 \sqrt{5}+9 \sqrt{5}$ $\square$ $\square$ Submit

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Problem 5163

Evaluate the expression for $h=-9$ and $j=8$ . Simplify your answer. $\frac{j}{h+j}=$ $\square$ Submit

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Problem 5164

Evaluate the expression for $h=-9$ and $j=8$ . Simplify your answer. $\frac{j}{h+j}=$ $\square$ Submit

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Problem 5165

Whole Numbers Progress: Questo
The movement of the progress bar may be uneven because questions can be worth more or less (induding zero) depending an your onswer: Match each expression on the left with its equivalent on the right. Some answer choices on the right will not be used. $\begin{array}{ll} 8,200 \times 100 & 82 \\ 820,000 \div 10 & 820 \\ 820 \times 10 & 8,200 \\ 82,000 \div 1,000 & 82,000 \\ & 820,000 \\ & 8,200,000 \end{array}$
Clear Click and hold an item in one colwm, then arag it to the matching item in the other colwnn be sure your cursor is over 2 target before releasing. The target will highight or the cursor will change Need help? Wiltch shis videa

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Problem 5166

Progress:
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. How could you correctly rewrite the equation $4(5+3)=2(22-6)$ using the distributive property? $20+18=44-6$ $20+12=44-12$ $12+20=-12+44$ $20+3=44-6$

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Problem 5167

The movement of the progress bar may be uneven because questions can be Simplify $(1+3)^{2}-10 \div 2$ .
The solution is

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Problem 5168

Write $4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4$ in exponential notation. $4^{7}$ $4^{G}$ $7^{4}$ 16,384

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Problem 5169

The movement of the progress bar may be uneven because Simplify $5+20-4^{2}$ . 21 9 17 441

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Problem 5170

Factor each quadratic expression. (10) $x^{2}+5 x+6$ (12) $x^{2}-5 x+4$ $13 x^{2}-4 x-12$

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Problem 5171

Rewrite without parentheses. $-8 a^{4} c^{6}\left(7 c^{2}-3 a+5\right)$
Simplify your answer as much as possible.

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Problem 5172

Factor the expression $4 z^{2}+24 z-28$ . Simplify your answer as much as possible, and put the greatest common factor in the first answer box. $\square$ $(\square)($ $\square$ ) help (formulas)

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Problem 5173

se synthetic division to divide. $\frac{x^{4}+x^{3}-11 x^{2}-5 x+30}{x-2}$
12. $\frac{3 x^{3}-2 x^{2}-150}{x-4}$

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Problem 5174

(1 point) Simplify the given expression and enter your answer with positive exponents. $y^{-3}\left(2 y^{4}\right)^{7}$
Simplified answer: $\square$ help (formulas)

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Problem 5175

(1 point) Simplify the given expression and enter your answer with positive exponents. $\frac{6 j k^{7}}{j^{-7}}$
Simplified answer: $\square$ help (formulas)

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Problem 5176

$\left(-3 x^{3}+5 x^{2}+10 x+4\right)-\left(x^{3}+7 x^{2}-3 x+1\right)$

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Problem 5177

$\log _{\frac{1}{4}} 3.2+2 \log _{\frac{1}{4}} 2+\log _{\frac{1}{4}} 5$

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Problem 5178

Simplify. $\frac{y^{7}}{y^{-3}}$
Write your answer with a positive exponen

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Problem 5179

Simplify. $\frac{x^{-2}}{x^{-8}}$
Write your answer with a positive exponent

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Problem 5180

Simplify. -8 X 9 X Write your answer with a positive exponent only. ☐ X

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Problem 5181

Simplify. $\frac{x^{-8}}{x^{9}}$
Write your answer with a positive exponent only.

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Problem 5182

Find the value of $\frac{\left(x^{2}\right)^{3}}{x^{2}}$ when $x=3$ . Choices: 81, 27, 9, 6.

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Problem 5183

Find the equivalent expression for $\frac{1}{6}(30 x-24 y)-\frac{1}{8}(32 x-16 y)$ .

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Problem 5184

Find an equivalent expression for $\frac{x^{2}-6 x+9}{x^{2}}$ where $x \neq \pm 3$ .

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Problem 5185

Find the equivalent expression for $2 x^{2}-14 x+24$ from the options: A, B, C, D.

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Problem 5186

Simplify the expression: $5 - y + 8$ .

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Problem 5187

Simplify the expression: $2(-2-4 p)+2(-2 p-1)$ .

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Problem 5188

Simplify this expression into scientific notation:
$\frac{-436.4 \times 10^{3} \mathrm{~J} / \mathrm{~mol}}{\left(3 \times 10^{8} \mathrm{~m} / \mathrm{s}\right)^{2}}$

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Problem 5189

Calculate the product of $5 \times 10^{22}$ and $1 \times 0.5^{10}$ .

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Problem 5190

Simplify $4(3 x+7)$ using the distributive property. Options: $7 x+7$ , $7 x+28$ , $12 x+7$ , $12 x+28$ .

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Problem 5191

Simplify $\frac{1}{2}(8 x-16)$ using the distributive property. Options: 4 x-8, 4 x-16, 16 x-8, 16 x-32.

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Problem 5192

Calculate the value of $5^{3}+3^{4}$ .

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Problem 5193

Calculate the value of the expression: $3^{3}+2^{5}-4^{2}$ .

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Problem 5194

Calculate the value of $-3^{3}-5^{3}+9$ .

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Problem 5195

Calculate $\frac{5}{9}(54-32)$ .

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Problem 5196

Calculate $3/4 - 1/2 \div 2/3$ .

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Problem 5197

Calculate the expression: $-\sqrt{9} * 3 / 2 \div -4 / 7$ .

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Problem 5198

Calculate the expression: $\sqrt{49 / 16} * 3 / 2 *(-3)$ .

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Problem 5199

Calculate the value of $\sqrt{49 / 16} * 3 / 2 * (-3)^{2}$ .

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Problem 5200

Find the difference and simplify: $\frac{5}{6}-\frac{2}{7}$ .

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1 ...49 50 51 52 53 54 55 56

Simplify

Problem 5101

Convert the expression sin⁡(tan⁡−1u)\sin \left(\tan ^{-1} u\right)sin(tan−1u) into an algebraic form in terms of uuu.

Problem 5102

Convert the trigonometric expression sin⁡(tan⁡−1u)\sin \left(\tan ^{-1} u\right)sin(tan−1u) to an algebraic form in uuu.

Problem 5103

Find the value of sin⁡−1[sin⁡(3π5)]\sin ^{-1}\left[\sin \left(\frac{3 \pi}{5}\right)\right]sin−1[sin(53π​)].

Problem 5104

Simplify 28x10y11\sqrt{28 x^{10} y^{11}}28x10y11​ to the form aba \sqrt{b}ab​. 28x10y11=\sqrt{28 x^{10} y^{11}}=28x10y11​=

Problem 5105

Factorise 3x3−3x2−(1−x)3 x^{3}-3 x^{2}-(1-x)3x3−3x2−(1−x)

Problem 5106

1. Simplify the expression ( 5 points): [4(s−4)−9]+[G(s−1)+6]\quad[4(s-4)-9]+[G(s-1)+6][4(s−4)−9]+[G(s−1)+6]

Problem 5107

Question For the functions f(x)=2x+5f(x)=2 x+5f(x)=2x+5 and g(x)=5x2g(x)=5 x^{2}g(x)=5x2, find (f∘g)(x)(f \circ g)(x)(f∘g)(x).Provide your answer below:

Problem 5108

Simplify 3012\frac{30}{12}1230​ as far as possible. Leave your answer as an improper fraction.

Problem 5109

What fraction of this shape is shaded? Give your answer in its lowest terms.

Problem 5110

What fraction of this shape is shaded? Give your answer in its lowest terms.

Problem 5111

What is 1222+111\frac{12}{22}+\frac{1}{11}2212​+111​ ? Give your answer in its lowest terms.

Problem 5112

Question WatFactor the expression completely. x4+x2−72x^{4}+x^{2}-72x4+x2−72Answer Attempt I out of 2

Problem 5113

Problem 5114

Problem 5115

Question 4 of 10 Which choice is equivalent to the product below? 8⋅5\sqrt{8} \cdot \sqrt{5}8​⋅5​ A. 10210 \sqrt{2}102​ B. 13\sqrt{13}13​ C. 2102 \sqrt{10}210​ D. 4104 \sqrt{10}410​

Problem 5116

Problem 5117

Problem 5118

Question 2 of 10 Write a8a3\sqrt{a^{8} a^{3}}a8a3​ as an algebraic expression using a rational exponent. A. a12a^{12}a12 B. a11/3a^{11 / 3}a11/3 c. a2/24a^{2 / 24}a2/24 D. a11/2a^{11 / 2}a11/2

Problem 5119

Question 9 of 10 What is the value of the expression below? (812)18\left(81^{2}\right)^{18}(812)18 A. 27 B. 3 C. 9 D. 1

Problem 5120

Problem 5121

Sionplify the foumsing sows f(A,3,c,D)=En⁡(2,3,12,13,14,15)\begin{array}{l} f(A, 3, c, D)=\operatorname{En}(2,3,12,13,14,15) \end{array}f(A,3,c,D)=En(2,3,12,13,14,15)​

Problem 5122

2. 413÷234 \frac{1}{3} \div \frac{2}{3}431​÷32​

Problem 5123

945÷79 \frac{4}{5} \div 7954​÷7

Problem 5124

6. 359÷163 \frac{5}{9} \div 16395​÷16

Problem 5125

21÷51421 \div 5 \frac{1}{4}21÷541​

Problem 5126

Round the distance from the pitcher's mound to home plate (18.38 m) to the nearest hundredth using a number line.

Problem 5127

What is the result of 9.1÷1029.1 \div 10^{2}9.1÷102?

Problem 5128

Simplify the expression: 20353\frac{20 \sqrt{3}}{5 \sqrt{3}}53​203​​.

Problem 5129

Simplify the expression 722\frac{\sqrt{72}}{\sqrt{2}}2​72​​.

Problem 5130

Simplify the expression: 21−2\frac{2}{1-\sqrt{2}}1−2​2​.

Problem 5131

Calculate 6×8÷4−26 \times 8 \div 4 - 26×8÷4−2.

Problem 5132

Calculate the expression (5−3)+2×4(5-3)+2 \times 4(5−3)+2×4.

Problem 5133

Calculate the expression: (16÷8+8)−1(16 \div 8 + 8) - 1(16÷8+8)−1.

Problem 5134

Calculate the value of the expression: 32−(12−6×2)32-(12-6 \times 2)32−(12−6×2).

Problem 5135

Calculate the result of 12−3×(5−2)÷312 - 3 \times (5 - 2) \div 312−3×(5−2)÷3.

Problem 5136

Rewrite x(x−y)5−y(x−y)5x(x-y)^{5}-y(x-y)^{5}x(x−y)5−y(x−y)5 as (x−y)a(x-y)^{a}(x−y)a and find the value of aaa.

Problem 5137

Multiply. (z+8)(z−8)(z+8)(z-8)(z+8)(z−8)Simplify your answer.

Problem 5138

Muliplying conjugate binomials: UnivariateMultiply. (4−d)(4+d)(4-d)(4+d)(4−d)(4+d)Simplify your answer.

Problem 5139

Cuotient of expressions involving exponSimplify. z3x6z5x6\frac{z^{3} x^{6}}{z^{5} x^{6}}z5x6z3x6​

Problem 5140

Simplify. x5y4x3y6\frac{x^{5} y^{4}}{x^{3} y^{6}}x3y6x5y4​

Problem 5141

www-awu.aleks.com/alekscgi/x/lsl.exe/1o_uExponants and Pefyromials Introduction to the power rules of exponenteSimplifi. (x2)3\left(x^{2}\right)^{3}(x2)3Write your answer without parentheses.

Problem 5142

Multiply. 3⋅4−8⋅−193 \cdot \frac{4}{-8} \cdot \frac{-1}{9}3⋅−84​⋅9−1​Write your answer in simplest form.

Convert the expression $\sin \left(\tan ^{-1} u\right)$ into an algebraic form in terms of $u$ .

Convert the trigonometric expression $\sin \left(\tan ^{-1} u\right)$ to an algebraic form in $u$ .

Find the value of $\sin ^{-1}\left[\sin \left(\frac{3 \pi}{5}\right)\right]$ .

Simplify $\sqrt{28 x^{10} y^{11}}$ to the form $a \sqrt{b}$ . $\sqrt{28 x^{10} y^{11}}=$

Factorise $3 x^{3}-3 x^{2}-(1-x)$

1. Simplify the expression ( 5 points): $\quad[4(s-4)-9]+[G(s-1)+6]$

Question For the functions $f(x)=2 x+5$ and $g(x)=5 x^{2}$ , find $(f \circ g)(x)$ .
Provide your answer below:

Simplify $\frac{30}{12}$ as far as possible. Leave your answer as an improper fraction.

What is $\frac{12}{22}+\frac{1}{11}$ ? Give your answer in its lowest terms.

Question Wat
Factor the expression completely. $x^{4}+x^{2}-72$
Answer Attempt I out of 2

Question 4 of 10 Which choice is equivalent to the product below? $\sqrt{8} \cdot \sqrt{5}$ A. $10 \sqrt{2}$ B. $\sqrt{13}$ C. $2 \sqrt{10}$ D. $4 \sqrt{10}$

Question 2 of 10 Write $\sqrt{a^{8} a^{3}}$ as an algebraic expression using a rational exponent. A. $a^{12}$ B. $a^{11 / 3}$ c. $a^{2 / 24}$ D. $a^{11 / 2}$

Question 9 of 10 What is the value of the expression below? $\left(81^{2}\right)^{18}$ A. 27 B. 3 C. 9 D. 1

Sionplify the foumsing sows $\begin{array}{l} f(A, 3, c, D)=\operatorname{En}(2,3,12,13,14,15) \end{array}$

2. $4 \frac{1}{3} \div \frac{2}{3}$

$9 \frac{4}{5} \div 7$

6. $3 \frac{5}{9} \div 16$

$21 \div 5 \frac{1}{4}$

What is the result of $9.1 \div 10^{2}$ ?

Simplify the expression: $\frac{20 \sqrt{3}}{5 \sqrt{3}}$ .

Simplify the expression $\frac{\sqrt{72}}{\sqrt{2}}$ .

Simplify the expression: $\frac{2}{1-\sqrt{2}}$ .

Calculate $6 \times 8 \div 4 - 2$ .

Calculate the expression $(5-3)+2 \times 4$ .

Calculate the expression: $(16 \div 8 + 8) - 1$ .

Calculate the value of the expression: $32-(12-6 \times 2)$ .

Calculate the result of $12 - 3 \times (5 - 2) \div 3$ .

Rewrite $x(x-y)^{5}-y(x-y)^{5}$ as $(x-y)^{a}$ and find the value of $a$ .

Multiply. $(z+8)(z-8)$
Simplify your answer.

Muliplying conjugate binomials: Univariate
Multiply. $(4-d)(4+d)$
Simplify your answer.

Cuotient of expressions involving expon
Simplify. $\frac{z^{3} x^{6}}{z^{5} x^{6}}$

Simplify. $\frac{x^{5} y^{4}}{x^{3} y^{6}}$

www-awu.aleks.com/alekscgi/x/lsl.exe/1o_u
Exponants and Pefyromials Introduction to the power rules of exponente
Simplifi. $\left(x^{2}\right)^{3}$
Write your answer without parentheses.

Multiply. $3 \cdot \frac{4}{-8} \cdot \frac{-1}{9}$
Write your answer in simplest form.

Multiply. $\frac{-1}{7} \cdot(-3) \cdot \frac{3}{-8}$
Write your answer in simplest form.

Rewrite the following without an exponent. $\left(\frac{8}{9}\right)^{-1}$

27) Evaluate the expression without a calculator. $\ln e^{4}$

Multiply. $2 x-2 w^{9} \cdot 7 x^{6} w^{9}$
Simplify your answer as much as possible.

Simplify $\frac{5}{2 a+b}+\frac{5}{2 a-b}$

Simplify $5 b^{4} \times 5 b$

P'education nationale Oujda Angad Lycée Salam Oujda En Mathématiques Exercice 1 : (2points) Factoriser les expressions suivantes : 1 pt $A=4 x^{2}-(x-1)^{2}$ 1 pt $B=x^{2}-27$

Jeana's calculator display shows the number to the right. a. Express this number in scientific notation. b. Express this number in standard form. a. The number written in scientific notation is $\square$ . (Use scientific notation. Use the multiplication symbol in the math palette as needed,)

fare lo stesso per $(\sqrt{2}-\sqrt{3})^{-1}$ .

Write as an exponential equation. $\log _{5} 5=1$

and the logarithm fully using the properties of logs. Express is of $\log x, \log y$ , and $\log z$ . $\log \frac{x}{y^{3} z^{4}}$

r with a positive exponent. c) $\left(-9^{4}\right)^{-1}$ f) $\left[\left(7^{-3}\right)^{-2}\right]^{-2}$

Divide. Write your answer as a fraction or mixed number in simplest form. $-\frac{21}{28} \div\left(-\frac{7}{4}\right)$

Add. Write your answer in simplest form. $-2 \sqrt{5}+9 \sqrt{5}$ $\square$ $\square$ Submit

Evaluate the expression for $h=-9$ and $j=8$ . Simplify your answer. $\frac{j}{h+j}=$ $\square$ Submit

Evaluate the expression for $h=-9$ and $j=8$ . Simplify your answer. $\frac{j}{h+j}=$ $\square$ Submit

The movement of the progress bar may be uneven because questions can be Simplify $(1+3)^{2}-10 \div 2$ .
The solution is

Write $4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4$ in exponential notation. $4^{7}$ $4^{G}$ $7^{4}$ 16,384

The movement of the progress bar may be uneven because Simplify $5+20-4^{2}$ . 21 9 17 441

Factor each quadratic expression. (10) $x^{2}+5 x+6$ (12) $x^{2}-5 x+4$ $13 x^{2}-4 x-12$

Rewrite without parentheses. $-8 a^{4} c^{6}\left(7 c^{2}-3 a+5\right)$
Simplify your answer as much as possible.

Factor the expression $4 z^{2}+24 z-28$ . Simplify your answer as much as possible, and put the greatest common factor in the first answer box. $\square$ $(\square)($ $\square$ ) help (formulas)

se synthetic division to divide. $\frac{x^{4}+x^{3}-11 x^{2}-5 x+30}{x-2}$
12. $\frac{3 x^{3}-2 x^{2}-150}{x-4}$

(1 point) Simplify the given expression and enter your answer with positive exponents. $y^{-3}\left(2 y^{4}\right)^{7}$
Simplified answer: $\square$ help (formulas)