Question

factor $-28xy^2 - 7x^4y^4 + 35x^2y^2$.
\bigcirc a. $-7xy^2(4 + x^3y^2 - 5x)$
\bigcirc b. $7x^2(-4y^2 - x^2y^2 + 5y^2)$
\bigcirc c. $-xy^2(28 + 7x^3y^2 - 35x)$
\bigcirc d. $x^2y^2(-28y + 7x^2y^2 + 35)$

Explanation:

Step1: Identify GCF of terms

Find GCF of $-28xy^2$, $-7x^4y^4$, $35x^2y^2$: $\text{GCF} = -7xy^2$

Step2: Divide each term by GCF

$\frac{-28xy^2}{-7xy^2}=4$, $\frac{-7x^4y^4}{-7xy^2}=x^3y^2$, $\frac{35x^2y^2}{-7xy^2}=-5x$

Step3: Write factored form

Combine GCF and quotient terms: $-7xy^2(4 + x^3y^2 - 5x)$

Answer:

a. $-7xy^2(4 + x^3y^2 - 5x)$