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

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

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

expand

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

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

Solution steps

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

Expand

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

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

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

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

(x + 2) (x - 3)

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

(1 + sin (x)) (- sin (x))

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