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

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

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

expand

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

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

Solution steps

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

Expand

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

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

x (51 - 8 ln (x))

\frac{( tan ^{2} ( x ) )}{2} + \frac{( tan ^{4} ( x ) )}{4}

\frac{( x y + 6 ) ^{3}}{8 y ^{3}}

\frac{( ( x + 2 ) ( 2 a + x ) )}{2}

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

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