Q52. - Algebra 1

Question

Find the product.

$\left(x+5\right)\left(x-5\right)$

Step-by-Step Solution

Answer

The final answer is ${\mathit{x}}^{\mathbf{2}}\mathbf{-}\mathbf{25}$.

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 ( x + 5 ) ( x − 5 ) .

Use equation (1) to find the product.

$\begin{array}{c}\left(x+5\right)\left(x-5\right)=x^2-5^2\\ =x^2-25\end{array}$

Therefore, the final answer is $x^2-25$.