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Popular >

expand (x-1/x)^2

Solution

expand

(x - \frac{1}{x})^{2}

Solution

\frac{x ^{4} - 2 x ^{2} + 1}{x ^{2}}

Solution steps

(x - \frac{1}{x})^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

x^{2} - 2 x \frac{1}{x} + (\frac{1}{x})^{2} : \frac{x ^{4} - 2 x ^{2} + 1}{x ^{2}}

= \frac{x ^{4} - 2 x ^{2} + 1}{x ^{2}}

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Frequently Asked Questions (FAQ)

What is expand (x-1/x)^2 ?
The solution to expand (x-1/x)^2 is (x^4-2x^2+1)/(x^2)