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

The solution to expand (2x^2+x+1)/((x-2)(x^2+3)) is (2x^2+x+1)/(x^3+3x-2x^2-6)

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

expand

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

\frac{2 x ^{2} + x + 1}{x ^{3} + 3 x - 2 x ^{2} - 6}

Solution steps

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

Expand

(x - 2) (x^{2} + 3) : x^{3} + 3 x - 2 x^{2} - 6

= \frac{2 x ^{2} + x + 1}{x ^{3} + 3 x - 2 x ^{2} - 6}

(- w + w^{2} - 1)^{2}

(- e^{t} sin (t) + e^{t} cos (t)) (2 e^{t} cos (t))

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

\frac{d}{d x} ((f (x)) (9 x^{2} + 11 x + 2))

(4 + 32) (- 3 + 5)

What is expand (2x^2+x+1)/((x-2)(x^2+3)) ?
The solution to expand (2x^2+x+1)/((x-2)(x^2+3)) is (2x^2+x+1)/(x^3+3x-2x^2-6)