What is expand (4(3x^3-1))/((1+x^2)^3) ?

The solution to expand (4(3x^3-1))/((1+x^2)^3) is (12x^3-4)/(1+3x^2+3x^4+x^6)

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expand (4(3x^3-1))/((1+x^2)^3)

expand

\frac{4 ( 3 x ^{3} - 1 )}{( 1 + x ^{2} ) ^{3}}

\frac{12 x ^{3} - 4}{1 + 3 x ^{2} + 3 x ^{4} + x ^{6}}

Solution steps

\frac{4 ( 3 x ^{3} - 1 )}{( 1 + x ^{2} ) ^{3}}

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

= \frac{4 ( 3 x ^{3} - 1 )}{1 + 3 x ^{2} + 3 x ^{4} + x ^{6}}

Expand

4 (3 x^{3} - 1) : 12 x^{3} - 4

= \frac{12 x ^{3} - 4}{1 + 3 x ^{2} + 3 x ^{4} + x ^{6}}

\frac{s ^{2} + 3}{s ( s + 2 ) ^{2} ( s + 1 )}

(13 + x) (13 - x)

\frac{3 x ^{3} - x ^{2} + 6 x - 4}{( x ^{2} + 1 ) ( x ^{2} + 2 )}

(x^{\frac{1}{3}} - \frac{2}{3})^{6}

\frac{- 2 x ^{2} + 1}{( x ^{2} + 1 ) ^{\frac{5}{2}}}

What is expand (4(3x^3-1))/((1+x^2)^3) ?
The solution to expand (4(3x^3-1))/((1+x^2)^3) is (12x^3-4)/(1+3x^2+3x^4+x^6)