What is expand (5x-2)/(x(x^2+6)^2) ?

The solution to expand (5x-2)/(x(x^2+6)^2) is (5x-2)/(x^5+12x^3+36x)

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expand (5x-2)/(x(x^2+6)^2)

expand

\frac{5 x - 2}{x ( x ^{2} + 6 ) ^{2}}

\frac{5 x - 2}{x ^{5} + 12 x ^{3} + 36 x}

Solution steps

\frac{5 x - 2}{x ( x ^{2} + 6 ) ^{2}}

(x^{2} + 6)^{2} = x^{4} + 12 x^{2} + 36

= \frac{5 x - 2}{x ( x ^{4} + 12 x ^{2} + 36 )}

Expand

x (x^{4} + 12 x^{2} + 36) : x^{5} + 12 x^{3} + 36 x

= \frac{5 x - 2}{x ^{5} + 12 x ^{3} + 36 x}

f (x) = (2 e^{x} - 4)^{9}

- \frac{6 e ^{- s t} ( 2 + t )}{s ^{3}}

\frac{s}{( s ^{2} + 3 ) ^{2}}

d x [(x + 1) (x + 3)]

f (\frac{1}{2}, - 1)

What is expand (5x-2)/(x(x^2+6)^2) ?
The solution to expand (5x-2)/(x(x^2+6)^2) is (5x-2)/(x^5+12x^3+36x)