### Home > CCA2 > Chapter 12 > Lesson 12.2.2 > Problem12-117

12-117.

Simplify each expression.

1. $\frac { 2 x ^ { 2 } - 5 x - 3 } { 3 x ^ { 2 } - 11 x + 6 }$

Use a generic rectangle and diamond to factor the numerator and denominator. Then simplify using Giant Ones.

$\frac{2x+1}{3x-2}$

1. $\frac { x ^ { 3 } - 8 } { 4 x ^ { 3 } - 3 x ^ { 2 } - 10 x }$

The expression in the numerator is a difference of cubes.
See the Math Notes box in Lesson 8.3.3 for the formula.

When factoring the denominator, start by factoring out the common factor, $x$.