What is expand (3x^2-5x-2)/(x(x-1)^2) ?

The solution to expand (3x^2-5x-2)/(x(x-1)^2) is (3x^2-5x-2)/(x^3-2x^2+x)

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expand (3x^2-5x-2)/(x(x-1)^2)

expand

\frac{3 x ^{2} - 5 x - 2}{x ( x - 1 ) ^{2}}

\frac{3 x ^{2} - 5 x - 2}{x ^{3} - 2 x ^{2} + x}

Solution steps

\frac{3 x ^{2} - 5 x - 2}{x ( x - 1 ) ^{2}}

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

= \frac{3 x ^{2} - 5 x - 2}{x ( x ^{2} - 2 x + 1 )}

Expand

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

= \frac{3 x ^{2} - 5 x - 2}{x ^{3} - 2 x ^{2} + x}

2 x y - 9 x^{2} + (2 y + x^{2} + 1) \frac{d y}{d x}

lo g_{4} (2 x^{2}) (x + 1)

(7 - x)^{2}

\frac{16 ( 3 - 5 )}{5}

(a - 2) l e f t (a + 12)

What is expand (3x^2-5x-2)/(x(x-1)^2) ?
The solution to expand (3x^2-5x-2)/(x(x-1)^2) is (3x^2-5x-2)/(x^3-2x^2+x)