What is expand 1/(x(x^7+1)^2) ?

The solution to expand 1/(x(x^7+1)^2) is 1/(x^{15)+2x^8+x}

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expand 1/(x(x^7+1)^2)

expand

\frac{1}{x ( x ^{7} + 1 ) ^{2}}

\frac{1}{x ^{15} + 2 x ^{8} + x}

Solution steps

\frac{1}{x ( x ^{7} + 1 ) ^{2}}

(x^{7} + 1)^{2} = x^{14} + 2 x^{7} + 1

= \frac{1}{x ( x ^{14} + 2 x ^{7} + 1 )}

Expand

x (x^{14} + 2 x^{7} + 1) : x^{15} + 2 x^{8} + x

= \frac{1}{x ^{15} + 2 x ^{8} + x}

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

(4 x - 1) (4 x + 1)^{'}

\frac{375 ( π + 1 )}{π} - 375 - 2 π r^{2}

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

\frac{( 2 b - 22 ) ^{2}}{12}

What is expand 1/(x(x^7+1)^2) ?
The solution to expand 1/(x(x^7+1)^2) is 1/(x^{15)+2x^8+x}