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

The solution to expand (x^2+1)/(x^2(x+1)^2) is (x^2+1)/(x^4+2x^3+x^2)

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

expand

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

\frac{x ^{2} + 1}{x ^{4} + 2 x ^{3} + x ^{2}}

Solution steps

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

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

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

Expand

x^{2} (x^{2} + 2 x + 1) : x^{4} + 2 x^{3} + x^{2}

= \frac{x ^{2} + 1}{x ^{4} + 2 x ^{3} + x ^{2}}

\frac{- 84 x + 372}{7 ( x - 3 ) ( x - 4 )}

e (7 e - 8) + 8 e

(5 x^{2} - 3) (5 x^{2} + 3)^{'}

- \frac{5}{( x - 2 ) ^{2}}

(6 x^{2} - y + 3) d x + (3 y^{2} - x - 2) d y

What is expand (x^2+1)/(x^2(x+1)^2) ?
The solution to expand (x^2+1)/(x^2(x+1)^2) is (x^2+1)/(x^4+2x^3+x^2)