What is expand (x^4-4x^3+3x^2+ax+b)/((x+1)(x-2)) ?

The solution to expand (x^4-4x^3+3x^2+ax+b)/((x+1)(x-2)) is (x^4-4x^3+3x^2+ax+b)/(x^2-x-2)

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expand (x^4-4x^3+3x^2+ax+b)/((x+1)(x-2))

expand

\frac{x ^{4} - 4 x ^{3} + 3 x ^{2} + a x + b}{( x + 1 ) ( x - 2 )}

\frac{x ^{4} - 4 x ^{3} + 3 x ^{2} + a x + b}{x ^{2} - x - 2}

Solution steps

\frac{x ^{4} - 4 x ^{3} + 3 x ^{2} + a x + b}{( x + 1 ) ( x - 2 )}

Expand

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

= \frac{x ^{4} - 4 x ^{3} + 3 x ^{2} + a x + b}{x ^{2} - x - 2}

\frac{8 x ^{2} - 12}{x ( x ^{2} + 2 x - 6 )}

(5 + 9 x^{2} + 14 x + 1)^{2}

C (1, - 1)

2 (25 π - 50)

(a + ib 5)^{2}

What is expand (x^4-4x^3+3x^2+ax+b)/((x+1)(x-2)) ?
The solution to expand (x^4-4x^3+3x^2+ax+b)/((x+1)(x-2)) is (x^4-4x^3+3x^2+ax+b)/(x^2-x-2)