Question

Multiply pair conjugates using Product of Conjugates Pattern ( xy-9)(xy +9)

Answer 1

Given the following pair of conjugates:

`\mleft(xy-9\mright)\mleft(xy+9\mright)`

As shown, the same terms and the different signs

This is called the factor of the square difference

The product will be as follows:

`\mleft(xy-9\mright)\mleft(xy+9\mright)=(xy)^2-(9)^2=x^2y^2-81`

So, the answer will be:

`x^2y^2-81`