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

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

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expand-(4x^3+12x)/((x^2+1)^3)

expand

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

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

Solution steps

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

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

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

x (x^{2} + 3 x) d x

\frac{2.33 x ( 1.2 - 0.6 y )}{1 - 0.4 x}

x + h (x + h)

10 (e^{x} (cos (3 x) + 4 sin (3 x)))

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

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