Question

factor $-60a^{3}bc^{2}+70a^{2}c - 70a^{2}-20a$.
\bigcirc a. $10a(-6abc^{2}+7ac - 7a - 2)$
\bigcirc b. $10a(-6a^{2}bc^{2}+7ac - 7a - 2)$
\bigcirc c. $a(60a^{2}bc^{2}-70ac + 70 - 20)$
\bigcirc d. $-60abc^{2}+70ac - 70a - 20a$

Explanation:

Step1: Identify GCF of terms

The greatest common factor (GCF) of $-60a^3bc^2$, $70a^2c$, $-70a^2$, and $-20a$ is $10a$.

Step2: Divide each term by GCF

$\frac{-60a^3bc^2}{10a} = -6a^2bc^2$
$\frac{70a^2c}{10a} = 7ac$
$\frac{-70a^2}{10a} = -7a$
$\frac{-20a}{10a} = -2$

Step3: Factor out the GCF

Combine the results: $10a(-6a^2bc^2 + 7ac - 7a - 2)$

Answer:

b. $10a(-6a^{2}bc^{2} + 7ac - 7a - 2)$