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

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

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expand (ax^2+bx+c)/((x+1)(x^2+1)(x-3))

expand

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

\frac{a x ^{2} + b x + c}{x ^{4} - 2 x ^{3} - 2 x ^{2} - 2 x - 3}

Solution steps

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

Expand

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

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

(2 x + 1) (x + 1)

(6 t - 8 sin (2 t)) (6 - 16 cos (2 t))

- \frac{4 s ^{2} + 8 s + 2}{( s + 1 ) ^{3}}

(4 - x - 1)^{2}

(lo g_{10} (2 x))^{2}

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