CPM Homework Help : AC Problem 11-50

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11-50.

Simplify each expression below.

$\frac{3x^2+8x+5}{x^2-5x-6}\cdot\frac{2x-5}{3x+5}$
Hint (a):
Factor, then multiply.
Step 1 (a):
$\frac{\left(3x+5\right)\left(x+1\right)\left(2x-5\right)}{\left(3x+5\right)\left(x+1\right)\left(x-6\right)}$
Step 2 (a):
Look for factors that make $1$ .
Answer (a):
$\frac{\left(2x-5\right)}{\left(x-6\right)}$

$\frac{x^2+x-12}{x^2-x-6}\div\frac{x-5}{x^2-3x-10}$
Hint (b):
Change the division to multiplication, then see part (a).

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