What is expand (60s+1200)/(s(s+10)^2) ?

The solution to expand (60s+1200)/(s(s+10)^2) is (60s+1200)/(s^3+20s^2+100s)

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expand (60s+1200)/(s(s+10)^2)

expand

\frac{60 s + 1200}{s ( s + 10 ) ^{2}}

\frac{60 s + 1200}{s ^{3} + 20 s ^{2} + 100 s}

Solution steps

\frac{60 s + 1200}{s ( s + 10 ) ^{2}}

(s + 10)^{2} = s^{2} + 20 s + 100

= \frac{60 s + 1200}{s ( s ^{2} + 20 s + 100 )}

Expand

s (s^{2} + 20 s + 100) : s^{3} + 20 s^{2} + 100 s

= \frac{60 s + 1200}{s ^{3} + 20 s ^{2} + 100 s}

- 6 x^{\frac{5}{3}} (- 2 x^{\frac{1}{2}} + 3 x^{\frac{1}{3}})

(2 a + b)^{2}

x (x + 1)

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

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

What is expand (60s+1200)/(s(s+10)^2) ?
The solution to expand (60s+1200)/(s(s+10)^2) is (60s+1200)/(s^3+20s^2+100s)