What is expand (-4x^3-10x^2-4x+2)/((x^2+1)^4) ?

The solution to expand (-4x^3-10x^2-4x+2)/((x^2+1)^4) is (-4x^3-10x^2-4x+2)/(x^8+4x^6+6x^4+4x^2+1)

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expand (-4x^3-10x^2-4x+2)/((x^2+1)^4)

expand

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

\frac{- 4 x ^{3} - 10 x ^{2} - 4 x + 2}{x ^{8} + 4 x ^{6} + 6 x ^{4} + 4 x ^{2} + 1}

Solution steps

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

(x^{2} + 1)^{4} = x^{8} + 4 x^{6} + 6 x^{4} + 4 x^{2} + 1

= \frac{- 4 x ^{3} - 10 x ^{2} - 4 x + 2}{x ^{8} + 4 x ^{6} + 6 x ^{4} + 4 x ^{2} + 1}

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

(x - 2 + 2)^{2} (x - 2 - 2)^{2}

\frac{d}{d y} ((x (y)) (y^{2} + 1))

\frac{1}{( x - 1 ) ( x - 4 )}

(x - 3) e^{∣ x + 1 ∣}

What is expand (-4x^3-10x^2-4x+2)/((x^2+1)^4) ?
The solution to expand (-4x^3-10x^2-4x+2)/((x^2+1)^4) is (-4x^3-10x^2-4x+2)/(x^8+4x^6+6x^4+4x^2+1)