Question

Multiply the pair conjugates using the Product of Conjugates Pattern (simplify) (rs-2/5)(rs+2/5)

Answer 1

In order to calculate the product of a pair of conjugate terms, we can use the pattern below:

`(a+b)(a-b)=a^2-b^2`

So we have:

`\begin{gathered} (rs-(2)/(5))(rs+(2)/(5)) \\ =(rs)^2-((2)/(5))^2 \\ =r^2s^2-(4)/(25) \end{gathered}`