### Home > AC > Chapter 5 > Lesson 5.2.1 > Problem5-71

5-71.

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

1. $\left(2x^2+3x+5\right)+\left(x^2+2x+8\right)$

Rearrange and put like terms together.
$2x^2+x^2+3x+2x+5+8$

Combine like terms.

$3x^2+5x+13$

1. $\left(3x^2+8x+1\right)+\left(2x^2+8x+4\right)$

Follow the steps in part (a).

1. $\left(3x^2+5x+7\right)-\left(4x^2+x+1\right)$

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

Follow the steps in part (a).

$-x^2+4x+6$

1. $\left(x^2+9x+8\right)-\left(x^2+4x+8\right)$

Follow the steps in part (c).

$5x$

1. $\left(7x^2+x+10\right)-\left(3x^2+12x+12\right)$

Follow the steps in part (c).