What is expand (7n^2+n^4-4x^3)/((x^4+n^4)^2) ?

The solution to expand (7n^2+n^4-4x^3)/((x^4+n^4)^2) is (7n^2+n^4-4x^3)/(x^8+2n^4x^4+n^8)

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expand (7n^2+n^4-4x^3)/((x^4+n^4)^2)

expand

\frac{7 n ^{2} + n ^{4} - 4 x ^{3}}{( x ^{4} + n ^{4} ) ^{2}}

\frac{7 n ^{2} + n ^{4} - 4 x ^{3}}{x ^{8} + 2 n ^{4} x ^{4} + n ^{8}}

Solution steps

\frac{7 n ^{2} + n ^{4} - 4 x ^{3}}{( x ^{4} + n ^{4} ) ^{2}}

(x^{4} + n^{4})^{2} = x^{8} + 2 n^{4} x^{4} + n^{8}

= \frac{7 n ^{2} + n ^{4} - 4 x ^{3}}{x ^{8} + 2 n ^{4} x ^{4} + n ^{8}}

\frac{( x ^{4} - 4 ) ^{2}}{16 x ^{4}}

Dr (π r^{2} + a r)

\frac{1}{( 1 + 5 x ) ^{4}}

- 3 i x^{2} + (2 + 2 i) x + 2

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

What is expand (7n^2+n^4-4x^3)/((x^4+n^4)^2) ?
The solution to expand (7n^2+n^4-4x^3)/((x^4+n^4)^2) is (7n^2+n^4-4x^3)/(x^8+2n^4x^4+n^8)