CPM Homework Help : AC Problem 10-115

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Home > AC > Chapter 10 > Lesson 10.3.2 > Problem 10-115

10-115.

Multiply or divide the rational expressions below. Leave your answers in simplified form.

$\frac{4x^2+x-14}{3x^2-11x+6}\div\frac{4x-7}{x-3}$
Hint 1(a):
Factor each expression.
$\frac{(4x-7)(x-2)}{(3x-2)(x-3)}\div\frac{(4x-7)}{(x-3)}$
Hint 2(a):
Change the expression to multiplication.
$\left(\frac{\left(4x-7\right)\left(x-2\right)}{\left(3x-2\right)\left(x-3\right)}\right)\left(\frac{\left(x-3\right)}{\left(4x-7\right)}\right)$
Hint 3(a):
Look for ones.
$\frac{\left(4x-7\right)}{\left(4x-7\right)}=\frac{\left(x-3\right)}{\left(x-3\right)}=1$
Answer (a):
$\frac{\left(3x-2\right)}{\left(x-2\right)}$

$\frac{5x^2-8x-4}{x^2-9x-22}\cdot\frac{x^2-4}{5x^2+22x+8}$
Hint (b):
Follow steps in part (a).

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