### Home > INT2 > Chapter 4 > Lesson 4.1.1 > Problem4-8

4-8.

Previously, you have used the Distributive Property and common factors to change expressions written as sums into expressions written as products. For example:

The sum $12x+18$ may be rewritten as the product $6(2x+3)$ because $6$ is a common factor of both terms of the original expression.

Since $x$ is a common factor of every term in the sum $x^2+xy+x$, the expression may be rewritten as the product $x(x+y+1)$.

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 $4$.

2. $10x+25y+5$

What factor do all of the terms have in common?

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

3. $2x^2-8x$

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

4. $9x^2y+12x+3xy$

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