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

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

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

expand

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

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

Solution steps

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

Expand

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

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

(e^{2 y} - y) cos (x) \frac{d y}{d x}

(\frac{x ^{2} - 1}{x ^{2}})^{12}

\frac{0.225}{( 11 s + 1 ) ( 7 s + 1 ) ( 13 s + 1 ) ( 17 s + 1 )}

f x (1.0043, - 1.7299)

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

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