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

The solution to expand (x^2-2)/(x(x-1)^2) is (x^2-2)/(x^3-2x^2+x)

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

expand

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

\frac{x ^{2} - 2}{x ^{3} - 2 x ^{2} + x}

Solution steps

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

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

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

Expand

x (x^{2} - 2 x + 1) : x^{3} - 2 x^{2} + x

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

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

e^{I n (x - 2)}

(1 - a) (1 + a)

(x + Δ x)^{3}

(2 x + 7) lo g_{10} (2 x + 7) + 3

What is expand (x^2-2)/(x(x-1)^2) ?
The solution to expand (x^2-2)/(x(x-1)^2) is (x^2-2)/(x^3-2x^2+x)