CPM Homework Help : CCA2 Problem 12-117

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12-117.

Simplify each expression.

$\frac { 2 x ^ { 2 } - 5 x - 3 } { 3 x ^ { 2 } - 11 x + 6 }$
Hint (a):
Use a generic rectangle and diamond to factor the numerator and denominator. Then simplify using Giant Ones.
Answer (a):
$\frac{2x+1}{3x-2}$

$\frac { x ^ { 3 } - 8 } { 4 x ^ { 3 } - 3 x ^ { 2 } - 10 x }$
Hint (b):
The expression in the numerator is a difference of cubes.
See the Math Notes box in Lesson 8.3.3 for the formula.
More Help (b):
When factoring the denominator, start by factoring out the common factor, $x$ .

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