### Home > AC > Chapter 10 > Lesson 10.4.2 > Problem10-140

10-140.

Simplify the rational expressions below.

1. $\frac{x^2-8x+16}{3x^2-10x-8}$

Use a generic rectangle to factor the expressions.

$3x^2-10x+16$
$=(3x+2)(x-4)$

1. $\frac{10x+25}{2x^2-x-15}$

Factor the denominator with a generic rectangle. Factor the numerator by finding a common factor.

$\frac{5}{x-3}$

1. $\frac { 9 x ^ { 4 } y ^ { 3 } z } { 3 x ^ { 4 } y ^ { 3 } z }$

Reduce by looking for factors in the numerator and denominator that make one.

$\frac{9}{3}$