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

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

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

expand

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

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

Solution steps

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

(x^{3} + x)^{2} = x^{6} + 2 x^{4} + x^{2}

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

\frac{d}{d x ( w )} ((w (x (w), y (w), z (w))) (x (w) y (w) + y (w) z (w) + z (w) x (w)))

x^{8}

\frac{19 s + 9}{( s ^{2} + 9 ) ( 2 s - 1 )}

\frac{s ^{2} + 6}{s ( s ^{2} + 4 )}

(- 3 a^{3} cos^{2} (x) sin (x))^{2}

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