What is expand (100(s+25))/(s(s+5)^3) ?

The solution to expand (100(s+25))/(s(s+5)^3) is (100s+2500)/(s^4+15s^3+75s^2+125s)

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expand (100(s+25))/(s(s+5)^3)

expand

\frac{100 ( s + 25 )}{s ( s + 5 ) ^{3}}

\frac{100 s + 2500}{s ^{4} + 15 s ^{3} + 75 s ^{2} + 125 s}

Solution steps

\frac{100 ( s + 25 )}{s ( s + 5 ) ^{3}}

(s + 5)^{3} = s^{3} + 15 s^{2} + 75 s + 125

= \frac{100 ( s + 25 )}{s ( s ^{3} + 15 s ^{2} + 75 s + 125 )}

Expand

s (s^{3} + 15 s^{2} + 75 s + 125) : s^{4} + 15 s^{3} + 75 s^{2} + 125 s

= \frac{100 ( s + 25 )}{s ^{4} + 15 s ^{3} + 75 s ^{2} + 125 s}

Expand

100 (s + 25) : 100 s + 2500

= \frac{100 s + 2500}{s ^{4} + 15 s ^{3} + 75 s ^{2} + 125 s}

y (1 + x y) d x + (2 y - x) d y

- \frac{1}{2 ( 1 + cosh ( x ) )}

e^{u} (cos (u) + c u)

(\frac{s - v}{a})^{2}

3 (2 s = \frac{a}{3} - 2 b)

What is expand (100(s+25))/(s(s+5)^3) ?
The solution to expand (100(s+25))/(s(s+5)^3) is (100s+2500)/(s^4+15s^3+75s^2+125s)