Q.246. - Intermediate Algebra

Question

Find the product of the below expression.

$\left(7a+b\right)\left(a-7b\right)$

Step-by-Step Solution

Answer

The solution is $7a^2-48ab-7b^2$.

Step 1. Given information.

The given expression is $\left(7a+b\right)\left(a-7b\right)$.

Step 2. Simplify the expressions by using the distributive property a b ± c = a b ± a c .

Solve it as follows:

$$\begin{gathered} \left(7a+b\right)\left(a-7b\right)=7a\left(a-7b\right)+b\left(a-7b\right) \\ \Rightarrow 7a^2-49ab+ab-7b^2 \\ \Rightarrow 7a^2-48ab-7b^2 \end{gathered}$$

Step 3. Simplified expression.

Hence, the required expression is $7a^2-48ab-7b^2$.