### Home > PC3 > Chapter 3 > Lesson 3.1.1 > Problem3-12

3-12.

Simplify the following expressions.

1. $\large \frac { ( x + 2 ) ^ { 3 } } { ( x + 2 ) }$

Rewrite the numerator as $(x+2)(x+2)(x+2)$.

1. $\large \frac { x ^ { 2 } - 5 x + 6 } { ( x - 2 ) ^ { 2 } }$

Factor and simplify.

1. $\large \frac { 2 x ^ { 2 } - 2 y ^ { 2 } } { x + y }$

Factor out 2 in the numerator first and then factor again.