Question

Multiply Conjugates Using the Product of Conjugates Pattern

In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern
326. (5k + 6)(5k − 6)

Answer 1

The product is the difference of squares is
`$$\left(5k+6\right)\left(5k-6\right)=25{{k}^2}-36$$`

Explanation:

Explanation

• The given expression is (5 k+6)(5 k-6).
• We have to multiply the given expression.
• Square the first term 5k. Square the last term 6 .

`$$\begin{aligned}&(5 k+6)(5 k-6)=(5 k)^(2)-(6)^(2) \\&(5 k+6)(5 k-6)=25 k^(2)-36\end{aligned}$$`