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Popular >

expand (12(s+5))/((s+1)^2(s+6)(s^2+4s+5))

Solution

expand

\frac{12 ( s + 5 )}{( s + 1 ) ^{2} ( s + 6 ) ( s ^{2} + 4 s + 5 )}

Solution

\frac{12 s + 60}{s ^{5} + 12 s ^{4} + 50 s ^{3} + 98 s ^{2} + 89 s + 30}

Solution steps

\frac{12 ( s + 5 )}{( s + 1 ) ^{2} ( s + 6 ) ( s ^{2} + 4 s + 5 )}

(s + 1)^{2} = s^{2} + 2 s + 1

= \frac{12 ( s + 5 )}{( s ^{2} + 2 s + 1 ) ( s + 6 ) ( s ^{2} + 4 s + 5 )}

Expand

(s^{2} + 2 s + 1) (s + 6) (s^{2} + 4 s + 5) : s^{5} + 12 s^{4} + 50 s^{3} + 98 s^{2} + 89 s + 30

= \frac{12 ( s + 5 )}{s ^{5} + 12 s ^{4} + 50 s ^{3} + 98 s ^{2} + 89 s + 30}

Expand

12 (s + 5) : 12 s + 60

= \frac{12 s + 60}{s ^{5} + 12 s ^{4} + 50 s ^{3} + 98 s ^{2} + 89 s + 30}

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Frequently Asked Questions (FAQ)

What is expand (12(s+5))/((s+1)^2(s+6)(s^2+4s+5)) ?
The solution to expand (12(s+5))/((s+1)^2(s+6)(s^2+4s+5)) is (12s+60)/(s^5+12s^4+50s^3+98s^2+89s+30)