### Home > CC2 > Chapter 6 > Lesson 6.2.1 > Problem6-56

6-56.

In problems 6‑54 and 6‑55, $3(x+1)$ could also be written as $3x+3$ by using the Distributive Property. The expression $3(x+1)$ is a product, while $3x+3$ is a sum. For each expression below, write an equivalent expression that is a product instead of a sum. This process of writing an expression in the form of factors (multiplication) is called factoring. Homework Help ✎

1. $75x-50$

Find the common factor of the terms.
$75x$ and $50$ both share the factor of $25$.

Divide both terms by $25$. $25(3x-2)$

$25(3x-2)$

1. $32x^2+48x$

16x is a factor of both $32x^2$ and $48x$.
1. $-40m-30$
Try factoring out $−10$ from $−40m$ and $30$.
1. $63m^2-54m$
$9m\left(7m-6\right)$