What is expand (-10x^2+27x-14)/((x-1)^3(x+2)) ?

The solution to expand (-10x^2+27x-14)/((x-1)^3(x+2)) is (-10x^2+27x-14)/(x^4-x^3-3x^2+5x-2)

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expand (-10x^2+27x-14)/((x-1)^3(x+2))

expand

\frac{- 10 x ^{2} + 27 x - 14}{( x - 1 ) ^{3} ( x + 2 )}

\frac{- 10 x ^{2} + 27 x - 14}{x ^{4} - x ^{3} - 3 x ^{2} + 5 x - 2}

Solution steps

\frac{- 10 x ^{2} + 27 x - 14}{( x - 1 ) ^{3} ( x + 2 )}

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

= \frac{- 10 x ^{2} + 27 x - 14}{( x ^{3} - 3 x ^{2} + 3 x - 1 ) ( x + 2 )}

Expand

(x^{3} - 3 x^{2} + 3 x - 1) (x + 2) : x^{4} - x^{3} - 3 x^{2} + 5 x - 2

= \frac{- 10 x ^{2} + 27 x - 14}{x ^{4} - x ^{3} - 3 x ^{2} + 5 x - 2}

sin ((9 x^{5} + cos (x))^{2})

\frac{( x ^{3} + y x ^{2} - ( y + 5 ) x - 19 )}{( x + 3 )}

(π (2 - 1)) - 2

e^{x} cos (2 x) \cdot (e^{x} sin (2 x) + 2 e^{x} cos (2 x))

cos (x) \cdot δ (x - 3 π)

What is expand (-10x^2+27x-14)/((x-1)^3(x+2)) ?
The solution to expand (-10x^2+27x-14)/((x-1)^3(x+2)) is (-10x^2+27x-14)/(x^4-x^3-3x^2+5x-2)