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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

4 (m = \frac{3}{4} n - v)

- 8 - 3 (w + 13 = 4 (w + 11)) - 7 w

\frac{x ^{6}}{x ^{5}}

(d - 4 e) (3 d + e)

(n + k) (n + k)!

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