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

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

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

expand

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

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

Solution steps

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

Expand

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

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

(x - 22)^{2}

(1 - cos (x))^{2} + sin^{2} (x)

(x - 3 + 2)^{2}

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

7 (sin (2 x) - cos (2 x))

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