What is (45.78)/(s^2(s^2+8s+45.78)) ?

The solution to (45.78)/(s^2(s^2+8s+45.78)) is (2289)/(50s^2(s^2+8s+45.78))

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simplify (45.78)/(s^2(s^2+8s+45.78))

simplify

\frac{45.78}{s ^{2} ( s ^{2} + 8 s + 45.78 )}

\frac{2289}{50 s ^{2} ( s ^{2} + 8 s + 45.78 )}

Solution steps

\frac{45.78}{s ^{2} ( s ^{2} + 8 s + 45.78 )}

Simplify

\frac{45.78}{s ^{2} ( s ^{2} + 8 s + 45.78 )} : \frac{4578}{100 s ^{2} ( s ^{2} + 8 s + 45.78 )}

= \frac{4578}{100 s ^{2} ( s ^{2} + 8 s + 45.78 )}

Factor the number:

4578 = 2 \cdot 2289

= \frac{2 \cdot 2289}{100 s ^{2} ( s ^{2} + 8 s + 45.78 )}

Factor the number:

100 = 2 \cdot 50

= \frac{2 \cdot 2289}{2 \cdot 50 s ^{2} ( s ^{2} + 8 s + 45.78 )}

Cancel the common factor:

2

= \frac{2289}{50 s ^{2} ( s ^{2} + 8 s + 45.78 )}

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What is (45.78)/(s^2(s^2+8s+45.78)) ?
The solution to (45.78)/(s^2(s^2+8s+45.78)) is (2289)/(50s^2(s^2+8s+45.78))