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

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

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

expand

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

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

Solution steps

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

Expand

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

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

(π - 2 x)^{2}

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

(x + 3) x + 3

\frac{x ^{2} + x - 6}{( x + k ) ( x - 1 )}

\frac{24 x ( - x ^{2} + 1 )}{( x ^{2} + 1 ) ^{4}}

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