### Home > CCA > Chapter 8 > Lesson 8.1.1 > Problem 8-10

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, 12

*x*+ 18 may be rewritten: 12*x*+ 18 = 6(2*x*+ 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. Homework Help ✎

4

*x +*810

*x*+ 25*y*+ 52

*x*8^{2}−*x*9

*x*12^{2}y +*x +*3*xy*

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

What factor do all of the terms have in common?

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

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

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