Respuesta :

Given the following pair of conjugates:

[tex]\mleft(xy-9\mright)\mleft(xy+9\mright)[/tex]

As shown, the same terms and the different signs

This is called the factor of the square difference

The product will be as follows:

[tex]\mleft(xy-9\mright)\mleft(xy+9\mright)=(xy)^2-(9)^2=x^2y^2-81[/tex]

So, the answer will be:

[tex]x^2y^2-81[/tex]