### Home > PC > Chapter 9 > Lesson 9.1.3 > Problem9-43

9-43.

Simplify each of the following expressions.

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

$\text{Let }u = \sqrt{x^2 + y^2}.$

$\dfrac{u^3}{2u}$

1. $\frac { 2 x ^ { 5 } - 8 x ^ { 3 } } { x + 2 }$

1. Factor out a $2x^{3}$ in the numerator.
2. Factor the remaining binomial in the numerator.
3. Simplify.