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

The solution to expand (x^{15})/((x^8+1)^2) is (x^{15})/(x^{16)+2x^8+1}

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expand (x^{15})/((x^8+1)^2)

expand

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

\frac{x ^{15}}{x ^{16} + 2 x ^{8} + 1}

Solution steps

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

(x^{8} + 1)^{2} = x^{16} + 2 x^{8} + 1

= \frac{x ^{15}}{x ^{16} + 2 x ^{8} + 1}

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

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What is expand (x^{15})/((x^8+1)^2) ?
The solution to expand (x^{15})/((x^8+1)^2) is (x^{15})/(x^{16)+2x^8+1}