What is expand (x^5+2x^3-x-8)/((x-1)^2) ?

The solution to expand (x^5+2x^3-x-8)/((x-1)^2) is (x^5+2x^3-x-8)/(x^2-2x+1)

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expand (x^5+2x^3-x-8)/((x-1)^2)

expand

\frac{x ^{5} + 2 x ^{3} - x - 8}{( x - 1 ) ^{2}}

\frac{x ^{5} + 2 x ^{3} - x - 8}{x ^{2} - 2 x + 1}

Solution steps

\frac{x ^{5} + 2 x ^{3} - x - 8}{( x - 1 ) ^{2}}

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

= \frac{x ^{5} + 2 x ^{3} - x - 8}{x ^{2} - 2 x + 1}

2 l e f t (5 m - 3) + 4 - 7 c m

2 x {(x + 5) (x - 3)}

\frac{1}{1 + x ^{2}} - (\frac{1}{4} x^{2} - x + \frac{5}{4})

6 (sin (2 x) + sin (x))

(sin (x)) (2 x + π)

What is expand (x^5+2x^3-x-8)/((x-1)^2) ?
The solution to expand (x^5+2x^3-x-8)/((x-1)^2) is (x^5+2x^3-x-8)/(x^2-2x+1)