Question

Find the product of the below expression.

$\left(p-3\right)\left(p+3\right)$

Short answer

The solution is$p^2-9$.

Step-by-step solution

Step 1. Given information.

The given expression is$\left(p-3\right)\left(p+3\right)$.

Step 2. Simplify the expression by using the difference of squares a+ba-b=a2-b2.

Solve it as follows:

$$\begin{gathered} \left(p-3\right)\left(p+3\right)={\left(p\right)}^2-{\left(3\right)}^2 \\ \Rightarrow p^2-9 \end{gathered}$$

Step 3. Simplified expression.

Hence, the required expression is$p^2-9$.