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

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

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

expand

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

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

Solution steps

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

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

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

(- 3 cos (2 x) - sin (3 x) - 5)^{2}

(x + 2) (x + \frac{3}{5})

(x - 2) (x^{2} + 2 x + 4)^{'}

3 (x cos (θ) - y sin (θ) (x sin (θ) + y cos (θ)))

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

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