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

The solution to expand (x-1)/((x+1)(x+2)^2) is (x-1)/(x^3+5x^2+8x+4)

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

expand

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

\frac{x - 1}{x ^{3} + 5 x ^{2} + 8 x + 4}

Solution steps

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

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

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

Expand

(x + 1) (x^{2} + 4 x + 4) : x^{3} + 5 x^{2} + 8 x + 4

= \frac{x - 1}{x ^{3} + 5 x ^{2} + 8 x + 4}

\frac{5 x - 5}{( 5 x + 3 ) ^{2}}

(3 x^{2} + 7 x^{3}) e^{7 x}

2 (- x cos (x) + sin (x))

2 x d y + (x^{2} y^{4} + 1) y d x

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

What is expand (x-1)/((x+1)(x+2)^2) ?
The solution to expand (x-1)/((x+1)(x+2)^2) is (x-1)/(x^3+5x^2+8x+4)