What is expand (e^x+x^2e^x-2xe^x)/((1+x^2)^2) ?

The solution to expand (e^x+x^2e^x-2xe^x)/((1+x^2)^2) is (e^x+e^xx^2-2e^xx)/(1+2x^2+x^4)

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expand (e^x+x^2e^x-2xe^x)/((1+x^2)^2)

expand

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

\frac{e ^{x} + e ^{x} x ^{2} - 2 e ^{x} x}{1 + 2 x ^{2} + x ^{4}}

Solution steps

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

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

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

(sin (5 x) - cos (5 x))^{5}

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

\frac{- a ( b - 2 a ) + 3 c ( - b - 2 a )}{a ( b - 2 a ) + 3 c ( b - 2 a )}

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

\frac{d ^{2}}{d x ^{2}} ((z (x, y)) (x^{2} y^{2} - y^{3} + 3 x^{4} + 5))

What is expand (e^x+x^2e^x-2xe^x)/((1+x^2)^2) ?
The solution to expand (e^x+x^2e^x-2xe^x)/((1+x^2)^2) is (e^x+e^xx^2-2e^xx)/(1+2x^2+x^4)