What is expand (50(s-2))/(s(s^2+s+100)) ?

The solution to expand (50(s-2))/(s(s^2+s+100)) is (50s-100)/(s^3+s^2+100s)

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expand (50(s-2))/(s(s^2+s+100))

expand

\frac{50 ( s - 2 )}{s ( s ^{2} + s + 100 )}

\frac{50 s - 100}{s ^{3} + s ^{2} + 100 s}

Solution steps

\frac{50 ( s - 2 )}{s ( s ^{2} + s + 100 )}

Expand

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

= \frac{50 ( s - 2 )}{s ^{3} + s ^{2} + 100 s}

Expand

50 (s - 2) : 50 s - 100

= \frac{50 s - 100}{s ^{3} + s ^{2} + 100 s}

\frac{5}{s ( s ^{2} + 10 s + 8 )}

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

A + (A + B) C^{^{'}}

\frac{\partial}{\partial x} ((x) (x^{6} y - 2 x^{3} y^{2}))

\frac{3}{( x ^{2} - 25 ) ^{2}}

What is expand (50(s-2))/(s(s^2+s+100)) ?
The solution to expand (50(s-2))/(s(s^2+s+100)) is (50s-100)/(s^3+s^2+100s)