What is expand (4s^2)/((s-3)^5) ?

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

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expand (4s^2)/((s-3)^5)

expand

\frac{4 s ^{2}}{( s - 3 ) ^{5}}

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

Solution steps

\frac{4 s ^{2}}{( s - 3 ) ^{5}}

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

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

6 \cdot 5 + 6 \cdot 2

\frac{1}{( s ( s ^{2} + 2 a s + w ^{2} ) )}

x (d y - y d x)

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

(2 a y + 1) (e^{2} y^{2} - a y - 1)

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