QuestionFind the missing factor $D$ in the equation $-15 y^{4}=(D)(3 y^{2})$ .

Studdy Solution

STEP 1

Assumptions1. The equation given is $-15 y^{4}=()\left(3 y^{}\right)$ . We are looking for the missing factor $$

STEP 2

We can start by isolating $$ on one side of the equation. We can do this by dividing both sides of the equation by $y^2$.
$= \frac{-15 y^{4}}{ y^{2}}$

STEP 3

Now, simplify the right side of the equation by dividing $-15$ by $3$ and y^ by $y^2$ .
$= \frac{-15}{3} \cdot \frac{y^{}}{y^{2}}$

STEP 4

Calculate the division of $-15$ by $3$ and simplify the power of $y$ by subtracting the exponents.
$= - \cdot y^{4-2}$

STEP 5

Calculate the subtraction of the exponents.
$= -5 \cdot y^{2}$ So, the missing factor $$ is $-5y^2$.

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QuestionFind the missing factor $D$ in the equation $-15 y^{4}=(D)(3 y^{2})$ .

Studdy Solution

STEP 1

Assumptions1. The equation given is $-15 y^{4}=()\left(3 y^{}\right)$ . We are looking for the missing factor $$

STEP 2

We can start by isolating $$ on one side of the equation. We can do this by dividing both sides of the equation by $y^2$.
$= \frac{-15 y^{4}}{ y^{2}}$

STEP 3

Now, simplify the right side of the equation by dividing $-15$ by $3$ and y^ by $y^2$ .
$= \frac{-15}{3} \cdot \frac{y^{}}{y^{2}}$

STEP 4

Calculate the division of $-15$ by $3$ and simplify the power of $y$ by subtracting the exponents.
$= - \cdot y^{4-2}$

STEP 5

Calculate the subtraction of the exponents.
$= -5 \cdot y^{2}$ So, the missing factor $$ is $-5y^2$.

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QuestionFind the missing factor DDD in the equation −15y4=(D)(3y2)-15 y^{4}=(D)(3 y^{2})−15y4=(D)(3y2).

Studdy Solution

STEP 1

Assumptions1. The equation given is −15y4=()(3y)-15 y^{4}=()\left(3 y^{}\right)−15y4=()(3y). We are looking for the missing factor $$

STEP 2

We can start by isolating $$ on one side of the equation. We can do this by dividing both sides of the equation by $y^2$.=−15y4y2 = \frac{-15 y^{4}}{ y^{2}}=y2−15y4​

STEP 3

Now, simplify the right side of the equation by dividing −15-15−15 by 333 and y^ by y2y^2y2.=−153⋅yy2 = \frac{-15}{3} \cdot \frac{y^{}}{y^{2}}=3−15​⋅y2y​

STEP 4

Calculate the division of −15-15−15 by 333 and simplify the power of yyy by subtracting the exponents.=−⋅y4−2 = - \cdot y^{4-2}=−⋅y4−2

STEP 5

Calculate the subtraction of the exponents.=−5⋅y2 = -5 \cdot y^{2}=−5⋅y2So, the missing factor $$ is $-5y^2$.

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QuestionFind the missing factor $D$ in the equation $-15 y^{4}=(D)(3 y^{2})$ .

Assumptions1. The equation given is $-15 y^{4}=()\left(3 y^{}\right)$ . We are looking for the missing factor $$

We can start by isolating $$ on one side of the equation. We can do this by dividing both sides of the equation by $y^2$.
$= \frac{-15 y^{4}}{ y^{2}}$

Now, simplify the right side of the equation by dividing $-15$ by $3$ and y^ by $y^2$ .
$= \frac{-15}{3} \cdot \frac{y^{}}{y^{2}}$

Calculate the division of $-15$ by $3$ and simplify the power of $y$ by subtracting the exponents.
$= - \cdot y^{4-2}$

Calculate the subtraction of the exponents.
$= -5 \cdot y^{2}$ So, the missing factor $$ is $-5y^2$.