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}

75

\frac{( P s ^{2} + P s + I ) \cdot 4865}{s ( s ^{2} + 497.8 s + 5951 )}

\frac{( a ^{n + 3} )}{a ^{n - 5}}

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

(1 + x^{2}) (\frac{x}{2} - \frac{4}{x})^{6}

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)