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

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

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

expand

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

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

Solution steps

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

Expand

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

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

3^{6}

\frac{( s + 1 ) ( s - 1 )}{s ( s + 2 ) ( s + 10 )}

(0, 0) y (2, - 4)

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

(e^{x} + 1) (e^{- x} + 1)

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