### Home > INT3 > Chapter 11 > Lesson 11.2.3 > Problem11-83

11-83.

Simplify each of the following expressions.

1. $\frac { 2 x ^ { 3 } + 5 x ^ { 2 } - 3 x } { 4 x ^ { 3 } - 4 x ^ { 2 } + x }$

Factor each expression and look for Giant Ones. Notice that both the numerator and denominator have a common factor.

1. $\frac { 3 x ^ { 2 } - 5 x - 2 } { 2 x ^ { 2 } - 11 x + 15 } \cdot \frac { 2 x ^ { 2 } - 5 x } { 3 x ^ { 3 } - 5 x ^ { 2 } - 2 x }$

See part (a).