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

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

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

expand

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

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

Solution steps

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

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

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

\frac{( k + 1 ) ( k + 10 )}{2}

(1 - \frac{t ^{2}}{2} + \frac{t ^{4}}{24})^{2}

lo g_{10} (x^{3} y^{- 6})

\frac{28 e ^{- 20 s + a}}{( s - 7 ) ^{2}}

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

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