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

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

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

expand

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

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

Solution steps

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

(x^{3} + 1)^{2} = x^{6} + 2 x^{3} + 1

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

\frac{( x + 2 ) ^{2}}{4}

(- 1, 3) P (4, - 2)

(\frac{3}{2} - x) (\frac{11}{2} - x)

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

(sin (x) + cos (y))^{2} + (cos (x) + sin (y))^{2}

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