### Home > AC > Chapter 5 > Lesson 5.2.1 > Problem 5-71

5-71.

Simplify the expressions below. You may want to draw or visualize algebra tiles to help you rewrite these problems. Homework Help ✎

(2

*x*^{2}+ 3*x*+ 5) + (*x*^{2}+ 2*x*+ 8)(3

*x*^{2}+ 8*x*+ 1) + (2*x*^{2}+ 8*x*+ 4)(3

*x*^{2}+ 5*x*+ 7) − (4*x*^{2}+*x*+ 1)(

*x*^{2}+ 9*x*+ 8) − (*x*^{2}+ 4*x*+ 8)(7

*x*^{2}+*x*+ 10) − (3*x*^{2}+ 12*x*+ 12)

Rearrange and put like terms together.

2*x*² + *x*² + 3*x* + 2*x* + 5 + 8

Combine like terms.

3*x*² + 5*x* + 13

Follow the steps in part (a).

How does the negative outside the parentheses change what is inside of it?

Follow the steps in part (a).

−*x*² + 4*x* + 6

Follow the steps in part (c).

5*x*

Follow the steps in part (c).