CPM Homework Help : AC Problem 5-71

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Home > AC > Chapter Ch5 > 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.

$\left(2x^2+3x+5\right)+\left(x^2+2x+8\right)$
Hint (a):
Rearrange and put like terms together.
$2x^2+x^2+3x+2x+5+8$
Hint 2(a):
Combine like terms.
Answer (a):
$3x^2+5x+13$

$\left(3x^2+8x+1\right)+\left(2x^2+8x+4\right)$
Hint (b):
Follow the steps in part (a).

$\left(3x^2+5x+7\right)-\left(4x^2+x+1\right)$
Hint (c):
How does the negative outside the parentheses change what is inside of it?
Hint 2(c):
Follow the steps in part (a).
Answer (c):
$-x^2+4x+6$

$\left(x^2+9x+8\right)-\left(x^2+4x+8\right)$
Hint (d):
Follow the steps in part (c).
Answer (d):
$5x$

$\left(7x^2+x+10\right)-\left(3x^2+12x+12\right)$
Hint (e):
Follow the steps in part (c).

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