What is expand (3x^3-x^2+6x-4)/((x^2+1)(x^2+2)) ?

The solution to expand (3x^3-x^2+6x-4)/((x^2+1)(x^2+2)) is (3x^3-x^2+6x-4)/(x^4+3x^2+2)

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expand (3x^3-x^2+6x-4)/((x^2+1)(x^2+2))

expand

\frac{3 x ^{3} - x ^{2} + 6 x - 4}{( x ^{2} + 1 ) ( x ^{2} + 2 )}

\frac{3 x ^{3} - x ^{2} + 6 x - 4}{x ^{4} + 3 x ^{2} + 2}

Solution steps

\frac{3 x ^{3} - x ^{2} + 6 x - 4}{( x ^{2} + 1 ) ( x ^{2} + 2 )}

Expand

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

= \frac{3 x ^{3} - x ^{2} + 6 x - 4}{x ^{4} + 3 x ^{2} + 2}

(x^{\frac{1}{3}} - \frac{2}{3})^{6}

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

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

(3 u - \frac{3}{7} v)^{2}

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

What is expand (3x^3-x^2+6x-4)/((x^2+1)(x^2+2)) ?
The solution to expand (3x^3-x^2+6x-4)/((x^2+1)(x^2+2)) is (3x^3-x^2+6x-4)/(x^4+3x^2+2)