CPM Homework Help : CC2 Problem 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.

$75x-50$
Step 1 (a):
Find the common factor of the terms.
$75x$ and $50$ both share the factor of $25$ .
Step 2 (a):
Divide both terms by $25$ . $25(3x-2)$
Answer (a):
$25(3x-2)$

$32x^2+48x$
Hint (b):
16x is a factor of both $32x^2$ and $48x$ .
Use this to help you write it as a product.

$-40m-30$
Hint (c):
Try factoring out $-10$ from $-40m$ and $30$ .

$63m^2-54m$
Hint (d):
Follow the steps outlined in part (a).
Answer (d):
$9m\left(7m-6\right)$