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

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

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

expand

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

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

Solution steps

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

(x^{2} + 1)^{2} = x^{4} + 2 x^{2} + 1

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

Expand

x^{2} (x^{4} + 2 x^{2} + 1) : x^{6} + 2 x^{4} + x^{2}

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

\frac{3}{( 4 + x ) ^{3}}

(1 - \frac{x}{y}) (1 + \frac{x}{y})

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

\frac{d}{d x} ((x - 4) (x - 8)^{3}) + 5

(2 - i)^{8}

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