CPM Homework Help : AC Problem 10-87

CPM Homework Banner

Home > AC > Chapter 10 > Lesson 10.2.4 > Problem 10-87

10-87.

Multiply or divide the expressions below. Leave your answer as simplified as possible.

Hint:

For additional help with fractional expressions, see problem 10-65.

$\frac{8x^2-12x-8}{2x^2-5x-3}\cdot\frac{x^2+2x-15}{6x-12}$
Step 1(a):
$\frac{4\left(2x+1\right)\left(x-2\right)}{\left(x-3\right)\left(2x+1\right)}\cdot\frac{\left(x-3\right)\left(x+5\right)}{6\left(x-2\right)}$
Step 2(a):
This simplifies to the following:
$\frac{4\left(x+5\right)}{6}=\frac{2\left(x+5\right)}{3}$
Answers (a):
$\frac{2\left(x+5\right)}{3}$

$\frac{7x^2+5x-2}{x^2+2x-8}\div\frac{3x^2-2x-5}{3x^2-11x+10}$
Answer (b):
$\frac{\left(7x-2\right)}{\left(x+4\right)}$

© 2022 CPM Educational Program. All rights reserved.