TymonL7018 TymonL7018
  • 03-11-2022
  • Mathematics
contestada

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

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XirenaI667274 XirenaI667274
  • 03-11-2022

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]

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