What is factor \sqrt[3]{x^{-6}-x^{-2}} ?

The solution to factor \sqrt[3]{x^{-6}-x^{-2}} is -(\sqrt[3]{(x^2+1)(x+1)(x-1)})/(x^2)

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factor \sqrt[3]{x^{-6}-x^{-2}}

factor

Solution steps

Simplify

x^{- 6} - x^{- 2} : \frac{1}{x ^{6}} - \frac{1}{x ^{2}}

Join

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

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

Apply radical rule:

n

is odd

Apply radical rule:

assuming

a \geq 0, b \geq 0

Apply exponent rule:

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

x^{6} = x^{2 \cdot 3} = (x^{2})^{3}

Apply radical rule:

assuming

a \geq 0

6 (x y)^{2}

\frac{( 4 n - 4 )}{6 n - 20}

\frac{d}{d y} ((x (y)) (8 y))

22 + 2 i 2

4 x (2 - 1) + (2 x - 1)^{2}

What is factor \sqrt[3]{x^{-6}-x^{-2}} ?
The solution to factor \sqrt[3]{x^{-6}-x^{-2}} is -(\sqrt[3]{(x^2+1)(x+1)(x-1)})/(x^2)