What is expand (-3x^2+8x+3)/((x^2+1)^2) ?

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

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expand (-3x^2+8x+3)/((x^2+1)^2)

expand

\frac{- 3 x ^{2} + 8 x + 3}{( x ^{2} + 1 ) ^{2}}

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

Solution steps

\frac{- 3 x ^{2} + 8 x + 3}{( x ^{2} + 1 ) ^{2}}

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

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

(x + 4) (x + 2)

\frac{d}{d x} ((x - 1) (x - 17)^{3}) + 13

(x + vx) d x

(x + 4) (x + 1)

2 a^{2} (1 - cos (t))

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