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

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

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

expand

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

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

Solution steps

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

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

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

\frac{3 s ^{2} + 10 s + 3}{( s ^{2} + 1 ) ( s ^{3} + 4 s ^{2} + 5 s + 2 )}

(- x + 5) (4, - 2)

(\frac{x}{2} + \frac{3}{4}) (\frac{x}{2} - \frac{8}{9})

\frac{1}{2} (ln ∣ e^{y} - 2 ∣ - y - x^{3})

x^{2} (2 x - \frac{4 x ^{3}}{3} + \frac{4 x ^{5}}{15})

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