Q.245. - Intermediate Algebra

Question

Find the product of the below expression.

$\left(3p+8\right)\left(3p-8\right)$

Step-by-Step Solution

Answer

The solution is $9p^2-64$.

Step 1. Given information.

The given expression is $\left(3p+8\right)\left(3p-8\right)$.

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

Solve it as follows:

$$\begin{gathered} \left(3p+8\right)\left(3p-8\right)={\left(3p\right)}^2-{\left(8\right)}^2 \\ \Rightarrow 9p^2-64 \end{gathered}$$

Step 3. Simplified expression.

Hence, the required expression is $9p^2-64$.