Chapter 4.3, Problem 8ST

To determine

To simplify: The given expression.

Answer to Problem 8ST

  $\left(4c-3\right)\left(4c+3\right)$ is simplified as $16c^2-9$ .

Explanation of Solution

Given:

The following expression:

  $\left(4c-3\right)\left(4c+3\right)$

Formula used:

The following special product:

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

Calculation:

The given expression can be simplified as:

  $\begin{array}{l}\left(4c-3\right)\left(4c+3\right)[\text{Given]}\\ ={\left(4c\right)}^2-{\left(3\right)}^2[\text{Special product formula]}\\ =16c^2-9[\text{Simplify]}\end{array}$