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

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

\frac{( s + 1 ) ( s - 2 )}{s ( s + 2 ) ( s - 5 )}

2 (4 + 11)

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

2 A (0, - 2, 1) + 3 B (- 1, 0, 1) - 4 C (3, 2, 0)

- \frac{14}{27} + \frac{7 ( 2 ^{39} + 3 ^{39} )}{2 ^{38} \cdot 45}

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^3-3x^2+4)