Q55. - Algebra 1

Question

Find the product.

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

Step-by-Step Solution

Answer

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

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 ( 2 x − 3 ) ( 2 x + 3 ) .

Use equation (1) to find the product.

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

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