What is expand (x-3)/((x+2)(x+1)^2) ?

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

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expand (x-3)/((x+2)(x+1)^2)

expand

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

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

Solution steps

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

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

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

Expand

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

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

\frac{5 ( 65 + 745 )}{12}

(e^{x - 3})^{2}

\frac{2 x - 1}{( x - 2 ) ( x - 3 ) ( x - 1 )}

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

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

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