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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

\frac{1}{2} (1.1 - 1) + \frac{1}{2}

\frac{3 ( 3 x - 5 )}{x + 6}

\frac{e ^{- 6 s}}{s ( s + 5 ) ( s - 2 )} + \frac{3}{( s + 5 ) ( s - 2 )}

\frac{( 6 - x ) ^{3}}{27}

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

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