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

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

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

expand

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

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

Solution steps

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

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

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

\frac{3 x ^{2} + 4 x - 7}{( x + 1 ) ( x - 3 )}

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

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

2 x e^{x} + e^{x} (x^{2} - 8)

(x + 2) sin (y) d x + x cos (y) d y

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