What is expand (x^4+5x^2+2)/(x^2(x^2+1)^2) ?

The solution to expand (x^4+5x^2+2)/(x^2(x^2+1)^2) is (x^4+5x^2+2)/(x^6+2x^4+x^2)

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expand (x^4+5x^2+2)/(x^2(x^2+1)^2)

expand

\frac{x ^{4} + 5 x ^{2} + 2}{x ^{2} ( x ^{2} + 1 ) ^{2}}

\frac{x ^{4} + 5 x ^{2} + 2}{x ^{6} + 2 x ^{4} + x ^{2}}

Solution steps

\frac{x ^{4} + 5 x ^{2} + 2}{x ^{2} ( x ^{2} + 1 ) ^{2}}

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

= \frac{x ^{4} + 5 x ^{2} + 2}{x ^{2} ( x ^{4} + 2 x ^{2} + 1 )}

Expand

x^{2} (x^{4} + 2 x^{2} + 1) : x^{6} + 2 x^{4} + x^{2}

= \frac{x ^{4} + 5 x ^{2} + 2}{x ^{6} + 2 x ^{4} + x ^{2}}

\frac{( x - 18 )}{( x + 1 ) ( x - 5 )}

\frac{\partial}{\partial x} ((y) (3 x^{2} + y^{2})^{3})

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

(t + e^{- 2 t})^{2}

(e - 3 x) d x

What is expand (x^4+5x^2+2)/(x^2(x^2+1)^2) ?
The solution to expand (x^4+5x^2+2)/(x^2(x^2+1)^2) is (x^4+5x^2+2)/(x^6+2x^4+x^2)