Chapter 11.1, Problem 22P

Simplify each expression. State any excluded values.

$\frac{x^2-9}{2x^2-6x}$

To determine

To simplify : the expression

Answer to Problem 22P

The value of the expression is $\frac{x+3}{2x}$

Explanation of Solution

Given information : The expression is $\frac{x^2-9}{2x^2-6x}$

Calculation :

  $\begin{array}{l}\frac{x^2-9}{2x^2-6x}\\ \Rightarrow \frac{x^2-3^2}{2x\left(x-3\right)}\\ \Rightarrow \frac{\left(x-3\right)\left(x+3\right)}{2x\left(x-3\right)}\\ \Rightarrow \frac{x+3}{2x}\end{array}$