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Popular >

simplify (x^2-x^{-2})^2

Solution

simplify

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

Solution

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

Solution steps

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

Simplify

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

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

Simplify

(x^{2})^{2} : x^{4}

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

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Frequently Asked Questions (FAQ)

What is (x^2-x^{-2})^2 ?
The solution to (x^2-x^{-2})^2 is ((x^4-1)^2)/(x^4)