What is expand (sqrt(x))/((x-3)^5) ?

The solution to expand (sqrt(x))/((x-3)^5) is (sqrt(x))/(x^5-15x^4+90x^3-270x^2+405x-243)

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expand (sqrt(x))/((x-3)^5)

expand

\frac{x}{( x - 3 ) ^{5}}

\frac{x}{x ^{5} - 15 x ^{4} + 90 x ^{3} - 270 x ^{2} + 405 x - 243}

Solution steps

\frac{x}{( x - 3 ) ^{5}}

(x - 3)^{5} = x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243

= \frac{x}{x ^{5} - 15 x ^{4} + 90 x ^{3} - 270 x ^{2} + 405 x - 243}

- 2 (x - \frac{3 π}{4})

\frac{( x + 3 ) ( x + 5 )}{2}

\frac{( - x + 15 ) ( x - 10 )}{2}

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

- \frac{3 ( n ^{2} + 14 )}{2 n - 6}

What is expand (sqrt(x))/((x-3)^5) ?
The solution to expand (sqrt(x))/((x-3)^5) is (sqrt(x))/(x^5-15x^4+90x^3-270x^2+405x-243)