Question

Multiply Conjugates Using the Product of Conjugates Pattern

In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern
335. (7w + 10x)(7w − 10x)

Answer 1

The product is the difference of squares is
`$$(7w+10x)(7w-10x)=49{{w}^2}-100{{x}^2}$$`

Explanation:

Explanation

• The given expression is (7w + 10x)(7w-10x).

• We have to multiply the given expression.

• Square the first term 7w. Square the last term 10x.

`$$\begin{aligned}&(7 w+10 x)(7 w-10 x)=(7 w)^(2)-(10 x)^(2) \\&(7 w+10 x)(7 w-10 x)=49 w^(2)-100 x^(2)\end{aligned}$$`