### Home > CCAA8 > Chapter 8 Unit 9 > Lesson CCA: 8.1.1 > Problem8-10

8-10.

In a previous course you used the Distributive Property and common factors to change expressions written as sums into expressions written as products. For example:

Since 6 is the greatest common factor of both terms, $12x+18$ may be rewritten: $12x+18=6(2x+3)$.

Here x is a common factor of every term, so $x^2+xy+x$ may be rewritten: $x^2+xy+x=x(x+y+1)$.

Use the greatest common factor to rewrite each sum as a product.

1. $4x+8$

Factor out the greatest common factor. In this case, it is $4$.

1. $10x+25y+5$

What factor do all of the terms have in common?

$5(2x + 5y + 1)$

1. $2x^2−8x$

In this case, the GCF will be $2x$.

1. $9x^2y+12x+3xy$

Refer to the hints in parts (a) and (b).