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Popular >

expand (xy-1)^2

Solution

expand

(x y - 1)^{2}

Solution

x^{2} y^{2} - 2 x y + 1

Solution steps

(x y - 1)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(x y - 1)^{2} = (x y)^{2} - 2 x y \cdot 1 + 1^{2}

= (x y)^{2} - 2 x y \cdot 1 + 1^{2}

Simplify

(x y)^{2} - 2 x y \cdot 1 + 1^{2} : x^{2} y^{2} - 2 x y + 1

= x^{2} y^{2} - 2 x y + 1

Popular Examples

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8^{l o g_{2} (3)}

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\frac{27 x y ^{7}}{x ^{8} y ^{2}}

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\frac{x ^{2}}{3} - \frac{x - 4}{3}

\frac{215}{11}

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\frac{1}{6} + \frac{1}{8} + \frac{2}{21}

Frequently Asked Questions (FAQ)

What is expand (xy-1)^2 ?
The solution to expand (xy-1)^2 is x^2y^2-2xy+1