Chapter 12, Problem 26CLR

To determine

To find: The simplified form of the given expression.

Answer to Problem 26CLR

The simplified form is $\frac{\left(b+4\right)\left(b-3\right)\left(b-2\right)}{\left(b-6\right)\left(b+1\right)}$ .

Explanation of Solution

Given:

The given expression is $\frac{b^2+b-12}{b+2}\cdot \frac{b^2-4}{b^2-5b-6}$ .

Calculation:

Consider the given expression is,

  $\frac{b^2+b-12}{b+2}\cdot \frac{b^2-4}{b^2-5b-6}$

Simplify as,

  $\begin{array}{c}\frac{b^2+b-12}{b+2}\cdot \frac{b^2-4}{b^2-5b-6}=\frac{\left(b+3\right)\left(b-3\right)}{b+2}\cdot \frac{\left(b+2\right)\left(b-2\right)}{\left(b-6\right)\left(b+1\right)}\\ =\frac{\left(b+4\right)\left(b-3\right)\left(b-2\right)}{\left(b-6\right)\left(b+1\right)}\end{array}$