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

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

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

expand

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

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

Solution steps

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

Expand

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

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

(e^{3 t} + e^{- 2 t})^{2}

\frac{1}{2 ( 2 a - 4 b + 6 )}

\frac{( x - 4 ) ( x - 5 )}{6}

2 (2 - ln (3))

\frac{( 7 x + 2 ) ^{2}}{7 x - 3}

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