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

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

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

expand

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

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

Solution steps

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

Expand

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

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

(x^{4} + 2 x^{2} + 2) l e f t (x^{2} - 2 x + 3)

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

(x^{2} + 1) (arctan (x))

2 e^{x} (e^{2} - 1)

(- sec (θ) + 2 sec^{3} (θ))^{2}

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