Q57. - Algebra 1

Question

Find the product.

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

Step-by-Step Solution

Answer

The final answer is $\mathbf{9}{\mathit{m}}^{\mathbf{2}}\mathbf{-}\mathbf{4}$.

Step 1. Define an expression.

A mathematical expression is a combinations of numbers and variables ordered with mathematical operations.

Step 2. Expand the identity, ( a + b ) ( a − b ) .

$\left(a+b\right)\left(a-b\right)=a^2-b^2\dots \dots \dots .\left(1\right)$

Step 3. Calculate the product ( 3 m − 2 ) ( 3 m + 2 ) .

Use equation (1) to find the product.

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

Therefore, the final answer is $9m^2-4$.