What is expand (2x^3+10x)/((x^2+1)^2) ?

The solution to expand (2x^3+10x)/((x^2+1)^2) is (2x^3+10x)/(x^4+2x^2+1)

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expand (2x^3+10x)/((x^2+1)^2)

expand

\frac{2 x ^{3} + 10 x}{( x ^{2} + 1 ) ^{2}}

\frac{2 x ^{3} + 10 x}{x ^{4} + 2 x ^{2} + 1}

Solution steps

\frac{2 x ^{3} + 10 x}{( x ^{2} + 1 ) ^{2}}

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

= \frac{2 x ^{3} + 10 x}{x ^{4} + 2 x ^{2} + 1}

\frac{12 x ^{6} - 96 x ^{4} + 34 x ^{3} - 3}{( 3 x - 4 x ^{4} ) ^{2}}

\frac{35 ( x - 3 ) x}{4}

4^{0}

\frac{1000 ( s + k )}{s k}

sin (10 π + \frac{5 π}{4})

What is expand (2x^3+10x)/((x^2+1)^2) ?
The solution to expand (2x^3+10x)/((x^2+1)^2) is (2x^3+10x)/(x^4+2x^2+1)