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

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

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

expand

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

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

Solution steps

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

Expand

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

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

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

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

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

(5 e^{3}) (6 e^{2} f - 4 e^{5})

(x + 2 - 7)^{2}

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