\((x+y)(x-y)=?\)

\(x^{2}-y^{2}\)

Explanation

Multiply the FIRST term of each factor by each other: \((x)(x)=x^{2}\). Then multiply the OUTERMOST terms together: \((x)(-y)=-xy\). Next, multiply the INNERMOST terms together: (y)(x) = xy. Finally, multiply the LAST terms by each other: \((y)(-y)=-y^{2}\). Combine the results of these four steps to create the polynomial expression and then simplify: \(x^{2}-x y+x y-y^{2}=x^{2}-y^{2}\).

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