What is expand (2x^2)/((1-3x^2)^3) ?

The solution to expand (2x^2)/((1-3x^2)^3) is (2x^2)/(1-9x^2+27x^4-27x^6)

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

expand

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

\frac{2 x ^{2}}{1 - 9 x ^{2} + 27 x ^{4} - 27 x ^{6}}

Solution steps

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

(1 - 3 x^{2})^{3} = 1 - 9 x^{2} + 27 x^{4} - 27 x^{6}

= \frac{2 x ^{2}}{1 - 9 x ^{2} + 27 x ^{4} - 27 x ^{6}}

\frac{36 + 4 s ^{3} + 3 s ^{2}}{s ^{2} ( s ^{2} + 9 )}

\frac{( x + 3 ) ^{2} x ( x - 3 ) ^{3} ( x - 7 ) ^{2}}{10000}

(1 + i 2)^{6}

t^{\frac{3}{2}} (2 + t)

(x^{2} + 2 x) (9 - x)

What is expand (2x^2)/((1-3x^2)^3) ?
The solution to expand (2x^2)/((1-3x^2)^3) is (2x^2)/(1-9x^2+27x^4-27x^6)