What is (2+3s)/(s(s+2.5))+1 ?

The solution to (2+3s)/(s(s+2.5))+1 is (s^2+5.5s+2)/(s(s+2.5))

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simplify (2+3s)/(s(s+2.5))+1

simplify

\frac{2 + 3 s}{s ( s + 2.5 )} + 1

\frac{s ^{2} + 5.5 s + 2}{s ( s + 2.5 )}

Solution steps

\frac{2 + 3 s}{s ( s + 2.5 )} + 1

Apply the fraction rule:

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

= \frac{s ( s + 2.5 ) + 2 + 3 s}{s ( s + 2.5 )}

Simplify

s (s + 2.5) + 2 + 3 s : s^{2} + 5.5 s + 2

= \frac{s ^{2} + 5.5 s + 2}{s ( s + 2.5 )}

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\frac{y ^{2} ( - y ^{2} + 1 )}{2}

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What is (2+3s)/(s(s+2.5))+1 ?
The solution to (2+3s)/(s(s+2.5))+1 is (s^2+5.5s+2)/(s(s+2.5))