Chapter 8.7, Problem 33PPE

To determine

To factor the expression $64q^2-81$ .

Answer to Problem 33PPE

  $64q^2-81=\left(8q+9\right)\left(8q-9\right)$

Explanation of Solution

Given:

  $64q^2-81$

Concept used:

  $\left(a+b\right)\left(a-b\right)=a^2-b^2$

Calculation:

  $\begin{array}{l}64q^2-81={\left(8q\right)}^2-9^2\\ =\left(8q+9\right)\left(8q-9\right)\end{array}$