Chapter 8.4, Problem 4AGP

To determine

To find: The product $\left(3n+2\right)\left(3n-2\right)$

Answer to Problem 4AGP

  $9n^2-4$

Explanation of Solution

Given:

  $\left(3n+2\right)\left(3n-2\right)$

Calculation:

The given expression is $\left(3n+2\right)\left(3n-2\right)$

Apply the formula $\left(a+b\right)\left(a-b\right)=a^2-b^2$ and then simplify

  $\begin{array}{l}\left(3n+2\right)\left(3n-2\right)\\ ={\left(3n\right)}^2-2^2\\ =9n^2-4\end{array}$