What is expand (-8x^4-6x+4x^5)/((x^2+1)^4) ?

The solution to expand (-8x^4-6x+4x^5)/((x^2+1)^4) is (-8x^4-6x+4x^5)/(x^8+4x^6+6x^4+4x^2+1)

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expand (-8x^4-6x+4x^5)/((x^2+1)^4)

expand

\frac{- 8 x ^{4} - 6 x + 4 x ^{5}}{( x ^{2} + 1 ) ^{4}}

\frac{- 8 x ^{4} - 6 x + 4 x ^{5}}{x ^{8} + 4 x ^{6} + 6 x ^{4} + 4 x ^{2} + 1}

Solution steps

\frac{- 8 x ^{4} - 6 x + 4 x ^{5}}{( x ^{2} + 1 ) ^{4}}

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

= \frac{- 8 x ^{4} - 6 x + 4 x ^{5}}{x ^{8} + 4 x ^{6} + 6 x ^{4} + 4 x ^{2} + 1}

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

\frac{( s \cdot ( s + 0.5 ) \cdot ( s + 1 ) \cdot ( s ^{2} + 0.4 s + 4 ) )}{s + 4}

86 (68.8 s + \frac{10 s + 2057600}{s})

cos (x) (cos (y) - 1) - sin (x) sin (y)

x^{2} \cdot sin (u s) (x + y^{2})

What is expand (-8x^4-6x+4x^5)/((x^2+1)^4) ?
The solution to expand (-8x^4-6x+4x^5)/((x^2+1)^4) is (-8x^4-6x+4x^5)/(x^8+4x^6+6x^4+4x^2+1)