What is expand (x^2+5)/((x+1)(x^2-2x+3)) ?

The solution to expand (x^2+5)/((x+1)(x^2-2x+3)) is (x^2+5)/(x^3-x^2+x+3)

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expand (x^2+5)/((x+1)(x^2-2x+3))

expand

\frac{x ^{2} + 5}{( x + 1 ) ( x ^{2} - 2 x + 3 )}

\frac{x ^{2} + 5}{x ^{3} - x ^{2} + x + 3}

Solution steps

\frac{x ^{2} + 5}{( x + 1 ) ( x ^{2} - 2 x + 3 )}

Expand

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

= \frac{x ^{2} + 5}{x ^{3} - x ^{2} + x + 3}

\frac{( x - 3 ) ( x ^{2} - 8 x + 15 )}{( x ^{2} - 6 x - 16 ) ( x + 2 )}

d x (4 y - y^{3} x^{4}) + d y (2 x - 2 x^{5} y^{2})

\frac{d}{d θ} ((x (θ)) (1 + cos (θ)) cos (θ))

\frac{100}{( 1 + r ) ^{5}}

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

What is expand (x^2+5)/((x+1)(x^2-2x+3)) ?
The solution to expand (x^2+5)/((x+1)(x^2-2x+3)) is (x^2+5)/(x^3-x^2+x+3)