QuestionSimplify the expression: $\frac{5^{2}-4}{5+2}$ (1 point)

Studdy Solution

STEP 1

Assumptions1. We are given the expression $\frac{5^{}-4}{5+}$ . . We need to simplify this expression.

STEP 2

The first step in simplifying this expression is to perform the operations in the numerator and the denominator separately, following the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

STEP 3

Calculate the expression in the numerator, which is $5^{2}-$ .
$5^{2}- =25-$

STEP 4

Calculate the result of the expression in the numerator.
$25-4 =21$

STEP 5

Calculate the expression in the denominator, which is $5+2$ .
$5+2 =7$

STEP 6

Now that we have simplified the numerator and the denominator, we can rewrite the original expression with these new values.
$\frac{5^{2}-4}{5+2} = \frac{21}{}$

STEP 7

Finally, simplify the fraction by dividing the numerator by the denominator.
$\frac{21}{7} =3$ The simplified form of the expression $\frac{5^{2}-4}{5+2}$ is3.

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QuestionSimplify the expression: $\frac{5^{2}-4}{5+2}$ (1 point)

Studdy Solution

STEP 1

Assumptions1. We are given the expression $\frac{5^{}-4}{5+}$ . . We need to simplify this expression.

STEP 2

STEP 3

Calculate the expression in the numerator, which is $5^{2}-$ .
$5^{2}- =25-$

STEP 4

Calculate the result of the expression in the numerator.
$25-4 =21$

STEP 5

Calculate the expression in the denominator, which is $5+2$ .
$5+2 =7$

STEP 6

Now that we have simplified the numerator and the denominator, we can rewrite the original expression with these new values.
$\frac{5^{2}-4}{5+2} = \frac{21}{}$

STEP 7

Finally, simplify the fraction by dividing the numerator by the denominator.
$\frac{21}{7} =3$ The simplified form of the expression $\frac{5^{2}-4}{5+2}$ is3.

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QuestionSimplify the expression: 52−45+2\frac{5^{2}-4}{5+2}5+252−4​ (1 point)

Studdy Solution

STEP 1

Assumptions1. We are given the expression 5−45+\frac{5^{}-4}{5+}5+5−4​. . We need to simplify this expression.

STEP 2

STEP 3

Calculate the expression in the numerator, which is 52−5^{2}-52−.52−=25−5^{2}- =25-52−=25−

STEP 4

Calculate the result of the expression in the numerator.25−4=2125-4 =2125−4=21

STEP 5

Calculate the expression in the denominator, which is 5+25+25+2.5+2=75+2 =75+2=7

STEP 6

Now that we have simplified the numerator and the denominator, we can rewrite the original expression with these new values.52−45+2=21\frac{5^{2}-4}{5+2} = \frac{21}{}5+252−4​=21​

STEP 7

Finally, simplify the fraction by dividing the numerator by the denominator.217=3\frac{21}{7} =3721​=3The simplified form of the expression 52−45+2\frac{5^{2}-4}{5+2}5+252−4​ is3.

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QuestionSimplify the expression: $\frac{5^{2}-4}{5+2}$ (1 point)

Assumptions1. We are given the expression $\frac{5^{}-4}{5+}$ . . We need to simplify this expression.

Calculate the expression in the numerator, which is $5^{2}-$ .
$5^{2}- =25-$

Calculate the result of the expression in the numerator.
$25-4 =21$

Calculate the expression in the denominator, which is $5+2$ .
$5+2 =7$

Now that we have simplified the numerator and the denominator, we can rewrite the original expression with these new values.
$\frac{5^{2}-4}{5+2} = \frac{21}{}$

Finally, simplify the fraction by dividing the numerator by the denominator.
$\frac{21}{7} =3$ The simplified form of the expression $\frac{5^{2}-4}{5+2}$ is3.