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

The solution to expand (x^2+x+1)/((x+1)^2(x+2)) is (x^2+x+1)/(x^3+4x^2+5x+2)

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

expand

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

\frac{x ^{2} + x + 1}{x ^{3} + 4 x ^{2} + 5 x + 2}

Solution steps

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

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

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

Expand

(x^{2} + 2 x + 1) (x + 2) : x^{3} + 4 x^{2} + 5 x + 2

= \frac{x ^{2} + x + 1}{x ^{3} + 4 x ^{2} + 5 x + 2}

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

\frac{d ^{4}}{d x ^{4}} ((y) (cos (x) + 2))

\frac{s ^{2} - 4}{( s ^{2} - 4 s + 5 ) ^{2}}

(- (\frac{3 x}{4} + 3) cos (\frac{3 x}{4} + 3)) + sin (\frac{3 x}{4} + 3)

2.5 x^{2.5 x - 0.5} (0.5 ln (x) + 1)

What is expand (x^2+x+1)/((x+1)^2(x+2)) ?
The solution to expand (x^2+x+1)/((x+1)^2(x+2)) is (x^2+x+1)/(x^3+4x^2+5x+2)