which of the following polynomials has factors ( xy - 1 ( xy + 1 )?

a: x²y-1

b: x²y²-1

c: xy²

d: x²y² + 1​


Sagot :

[tex]\huge\blue{\boxed{\tt{\colorbox{pink}{b: x²y²-1}}}}[/tex]

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Use (a-b)(a+b)=a²-b² to simplify the product

( xy - 1)( xy + 1 )

(xy)²-1²

To rase a product to a power, raise each factor to that power

(xy)²-1²

x²y²-1²

x²y²-1

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[tex]\huge\blue{\boxed{\tt{\colorbox{pink}{Final Answer}}}}[/tex]

[tex]\purple{\boxed{\tt{\colorbox{pink}{x²y²-1}}}}[/tex]