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

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

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

Expand

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

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

(1 + i x)^{2}

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

(1 + x + x^{2})^{8}

3 (3 - 2)

\frac{s + 1}{s ^{2} ( s + 2 ) ^{3}}

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