Chapter 8.7, Problem 7LC

To determine

To identify the rule that use to factor the expression $9h^2-64.$

Answer to Problem 7LC

The difference of two squares rule is used to factor the given expression.

Explanation of Solution

Given information:

Given expression $9h^2-64.$

Since $9h^2-64={\left(3h\right)}^2-8^2$

Thus, we have $a^2-b^2=\left(a+b\right)\left(a-b\right)$ .

So we can write the difference of two squares

Hence, the difference of two squares is used to factor the given expression.