Q.233. - Intermediate Algebra

Question

Multiply each pair of conjugates using the product of the conjugates pattern.

$\left(7w+10x\right)\left(7w-10x\right)$

Step-by-Step Solution

Answer

The solution is $49w^2-100x^2$.

Step 1. Given information.

The given expression is $\left(7w+10x\right)\left(7w-10x\right)$.

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

Solve it as follows:

$$\begin{gathered} \left(7w+10x\right)\left(7w-10x\right)={\left(7w\right)}^2-{\left(10x\right)}^2 \\ \Rightarrow 49w^2-100x^2 \end{gathered}$$

Step 3. Simplified expression.

Hence, the required expression is $49w^2-100x^2$.