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

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

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

expand

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

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

Solution steps

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

Expand

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

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

, x^{2} (x + 2)

\frac{π ( 2 ln ( 2 ) + 1 )}{2}

1 + tan^{2} (x)

\frac{2 x ^{3} - 6 x ^{2} + 13 x - 14}{( - x + 2 ) ( x - 6 )}

(x - 1) \cdot (x - 2)^{2} \cdot (x - 3)^{3} l e f t (x - 4)^{4}

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