What is expand (2x^3-x^2+5x)/((x^2+1)^2) ?

The solution to expand (2x^3-x^2+5x)/((x^2+1)^2) is (2x^3-x^2+5x)/(x^4+2x^2+1)

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expand (2x^3-x^2+5x)/((x^2+1)^2)

expand

\frac{2 x ^{3} - x ^{2} + 5 x}{( x ^{2} + 1 ) ^{2}}

\frac{2 x ^{3} - x ^{2} + 5 x}{x ^{4} + 2 x ^{2} + 1}

Solution steps

\frac{2 x ^{3} - x ^{2} + 5 x}{( x ^{2} + 1 ) ^{2}}

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

= \frac{2 x ^{3} - x ^{2} + 5 x}{x ^{4} + 2 x ^{2} + 1}

\frac{3 ( y ^{3} - 5 )}{2}

\frac{x + 8}{x ^{2} ( x - 1 )}

\frac{x ^{2} - x - 2}{( x - 4 ) ^{2}}

\frac{10}{x ^{2} ( x + 1 ) ( x ^{2} + 100 )}

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

What is expand (2x^3-x^2+5x)/((x^2+1)^2) ?
The solution to expand (2x^3-x^2+5x)/((x^2+1)^2) is (2x^3-x^2+5x)/(x^4+2x^2+1)