Chapter 11.1, Problem 6P

Simplify each expression. State any excluded values.

$\frac{3b-6}{b^2-4}$

To determine

To simplify : the expression

Answer to Problem 6P

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

Explanation of Solution

Given information : The expression is $\frac{3b-6}{b^2-4}$

Calculation :

  $\begin{array}{l}\frac{3b-6}{b^2-4}\\ \Rightarrow \frac{3b-6}{b^2-2^2}\\ \Rightarrow \frac{3b-6}{\left(b+2\right)\left(b-2\right)}\\ \Rightarrow \frac{3\left(b-2\right)}{\left(b+2\right)\left(b-2\right)}\\ \Rightarrow \frac{3}{b+2}\end{array}$