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

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

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

expand

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

\frac{x ^{2} - 2 x - 1}{x ^{3} - 3 x + 2}

Solution steps

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

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

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

Expand

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

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

(k + 1)! \cdot (k + 2) - 1

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

\frac{lo g _{10} ( x )}{( lo g _{10} ( x ) + 1 ) ^{2}}

\frac{x ^{3} - 8 x ^{2} - 1}{( x + 3 ) ( x - 2 ) ( x ^{2} + 1 )}

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

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