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Popular >

simplify (2/x-1/(x^3))^2

Solution

simplify

(\frac{2}{x} - \frac{1}{x ^{3}})^{2}

Solution

\frac{( 2 x ^{2} - 1 ) ^{2}}{x ^{6}}

Solution steps

(\frac{2}{x} - \frac{1}{x ^{3}})^{2}

Join

\frac{2}{x} - \frac{1}{x ^{3}} : \frac{2 x ^{2} - 1}{x ^{3}}

= (\frac{2 x ^{2} - 1}{x ^{3}})^{2}

Apply exponent rule:

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

= \frac{( 2 x ^{2} - 1 ) ^{2}}{( x ^{3} ) ^{2}}

Simplify

(x^{3})^{2} : x^{6}

= \frac{( 2 x ^{2} - 1 ) ^{2}}{x ^{6}}

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Frequently Asked Questions (FAQ)

What is (2/x-1/(x^3))^2 ?
The solution to (2/x-1/(x^3))^2 is ((2x^2-1)^2)/(x^6)