Chapter R - Elementary Algebra Review - R.4 Polynomials - R.4 Exercise Set - Page 962: 60

$x^2y^2-1$

Work Step by Step

Using $(a+b)(a-b)=a^2-b^2$ or the product of the sum and difference of like terms, the given expression, $(xy+1)(xy-1) ,$ is equivalent to \begin{array}{l}\require{cancel} (xy)^2-(1)^2 \\\\= x^2y^2-1 .\end{array}

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