Question

Multiply Conjugates Using the Product of Conjugates Pattern

In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern
339. (xy − 9)(xy + 9)

Answer 1

The product is the difference of squares is
`$$\left(xy-9\right)\left(xy+9\right)={{x}^2}{{y}^2}-81$$`

Explanation:

Explanation

• The given expression is (x y-9)(x y+9).
• We have to multiply the given expression.
• Square the first term xy. Square the last term 9 .

`$$\begin{aligned}&(x y-9)(x y+9)=(x y)^(2)-(9)^(2) \\&(x y-9)(x y+9)=x^(2) y^(2)-81\end{aligned}$$`