What is expand (3x^4+4x^2+8x+18)/(x(x^2+3)^2) ?

The solution to expand (3x^4+4x^2+8x+18)/(x(x^2+3)^2) is (3x^4+4x^2+8x+18)/(x^5+6x^3+9x)

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expand (3x^4+4x^2+8x+18)/(x(x^2+3)^2)

expand

\frac{3 x ^{4} + 4 x ^{2} + 8 x + 18}{x ( x ^{2} + 3 ) ^{2}}

\frac{3 x ^{4} + 4 x ^{2} + 8 x + 18}{x ^{5} + 6 x ^{3} + 9 x}

Solution steps

\frac{3 x ^{4} + 4 x ^{2} + 8 x + 18}{x ( x ^{2} + 3 ) ^{2}}

(x^{2} + 3)^{2} = x^{4} + 6 x^{2} + 9

= \frac{3 x ^{4} + 4 x ^{2} + 8 x + 18}{x ( x ^{4} + 6 x ^{2} + 9 )}

Expand

x (x^{4} + 6 x^{2} + 9) : x^{5} + 6 x^{3} + 9 x

= \frac{3 x ^{4} + 4 x ^{2} + 8 x + 18}{x ^{5} + 6 x ^{3} + 9 x}

y d x + (y^{3} + x) d y

f (x + arctan (e^{x} + sin (x)))

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

(x + 9) l e f t (x - 3)

\frac{5 t ^{2} + 21 t + 10}{2 t ( t + 5 ) ( t + 2 )}

What is expand (3x^4+4x^2+8x+18)/(x(x^2+3)^2) ?
The solution to expand (3x^4+4x^2+8x+18)/(x(x^2+3)^2) is (3x^4+4x^2+8x+18)/(x^5+6x^3+9x)