What is expand (x^2+81)/(x(x^2+9)^2) ?

The solution to expand (x^2+81)/(x(x^2+9)^2) is (x^2+81)/(x^5+18x^3+81x)

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expand (x^2+81)/(x(x^2+9)^2)

expand

\frac{x ^{2} + 81}{x ( x ^{2} + 9 ) ^{2}}

\frac{x ^{2} + 81}{x ^{5} + 18 x ^{3} + 81 x}

Solution steps

\frac{x ^{2} + 81}{x ( x ^{2} + 9 ) ^{2}}

(x^{2} + 9)^{2} = x^{4} + 18 x^{2} + 81

= \frac{x ^{2} + 81}{x ( x ^{4} + 18 x ^{2} + 81 )}

Expand

x (x^{4} + 18 x^{2} + 81) : x^{5} + 18 x^{3} + 81 x

= \frac{x ^{2} + 81}{x ^{5} + 18 x ^{3} + 81 x}

(f \circ g) (\frac{x ^{2} + 4}{x} + x^{2})

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

\frac{8 s ^{2} - 12 s + 48}{s ( s ^{2} + 16 )}

s (p - 3 p - 50 eD (p) = 100 - 2 p)

d \frac{10}{s ( s ^{2} + 6 s + 8 )}

What is expand (x^2+81)/(x(x^2+9)^2) ?
The solution to expand (x^2+81)/(x(x^2+9)^2) is (x^2+81)/(x^5+18x^3+81x)