What is expand (-2x^3-6x^2a-a)/((x^3-a)^2) ?

The solution to expand (-2x^3-6x^2a-a)/((x^3-a)^2) is (-2x^3-6ax^2-a)/(x^6-2ax^3+a^2)

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expand (-2x^3-6x^2a-a)/((x^3-a)^2)

expand

\frac{- 2 x ^{3} - 6 x ^{2} a - a}{( x ^{3} - a ) ^{2}}

\frac{- 2 x ^{3} - 6 a x ^{2} - a}{x ^{6} - 2 a x ^{3} + a ^{2}}

Solution steps

\frac{- 2 x ^{3} - 6 x ^{2} a - a}{( x ^{3} - a ) ^{2}}

(x^{3} - a)^{2} = x^{6} - 2 a x^{3} + a^{2}

= \frac{- 2 x ^{3} - 6 a x ^{2} - a}{x ^{6} - 2 a x ^{3} + a ^{2}}

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

\frac{3 x ( a - x ) ^{4}}{4}

4 x π (6 - x)^{2}

\frac{- ( - 2 ) ( 2 ( - 2 ) ^{2} + 3 ( - 2 ) - 12 )}{3}

\frac{2 ( 2 x - T )}{T}

What is expand (-2x^3-6x^2a-a)/((x^3-a)^2) ?
The solution to expand (-2x^3-6x^2a-a)/((x^3-a)^2) is (-2x^3-6ax^2-a)/(x^6-2ax^3+a^2)