What is 1+(20(s+1.5))/(s(s+0.5)(s+10)) ?

The solution to 1+(20(s+1.5))/(s(s+0.5)(s+10)) is (s^3+10.5s^2+25s+30)/(s(s+0.5)(s+10))

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simplify 1+(20(s+1.5))/(s(s+0.5)(s+10))

simplify

1 + \frac{20 ( s + 1.5 )}{s ( s + 0.5 ) ( s + 10 )}

\frac{s ^{3} + 10.5 s ^{2} + 25 s + 30}{s ( s + 0.5 ) ( s + 10 )}

Solution steps

1 + \frac{20 ( s + 1.5 )}{s ( s + 0.5 ) ( s + 10 )}

Apply the fraction rule:

1 + \frac{b}{c} = \frac{c + b}{c}

= \frac{s ( s + 0.5 ) ( s + 10 ) + 20 ( s + 1.5 )}{s ( s + 0.5 ) ( s + 10 )}

Simplify

s (s + 0.5) (s + 10) + 20 (s + 1.5) : s^{3} + 10.5 s^{2} + 25 s + 30

= \frac{s ^{3} + 10.5 s ^{2} + 25 s + 30}{s ( s + 0.5 ) ( s + 10 )}

(1 + x) ln (1 + x)

\frac{5 ( 3 t + 440 )}{44}

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

x^{2} y^{''} (x) + x y^{'} (x) + (x^{2} - 4) y

\frac{n ^{2} ( 4 ^{n} )}{( n + 1 ) ( n + 2 )}

What is 1+(20(s+1.5))/(s(s+0.5)(s+10)) ?
The solution to 1+(20(s+1.5))/(s(s+0.5)(s+10)) is (s^3+10.5s^2+25s+30)/(s(s+0.5)(s+10))