What is expand (5(s+2)(s+0.1))/((s+10)(s+0.01)) ?

The solution to expand (5(s+2)(s+0.1))/((s+10)(s+0.01)) is (5s^2+10.5s+1)/(s^2+10.01s+0.1)

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expand (5(s+2)(s+0.1))/((s+10)(s+0.01))

expand

\frac{5 ( s + 2 ) ( s + 0.1 )}{( s + 10 ) ( s + 0.01 )}

\frac{5 s ^{2} + 10.5 s + 1}{s ^{2} + 10.01 s + 0.1}

Solution steps

\frac{5 ( s + 2 ) ( s + 0.1 )}{( s + 10 ) ( s + 0.01 )}

Expand

(s + 10) (s + 0.01) : s^{2} + 10.01 s + 0.1

= \frac{5 ( s + 2 ) ( s + 0.1 )}{s ^{2} + 10.01 s + 0.1}

Expand

5 (s + 2) (s + 0.1) : 5 s^{2} + 10.5 s + 1

= \frac{5 s ^{2} + 10.5 s + 1}{s ^{2} + 10.01 s + 0.1}

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What is expand (5(s+2)(s+0.1))/((s+10)(s+0.01)) ?
The solution to expand (5(s+2)(s+0.1))/((s+10)(s+0.01)) is (5s^2+10.5s+1)/(s^2+10.01s+0.1)