What is 3/s+(16)/(s(s+1)) ?

The solution to 3/s+(16)/(s(s+1)) is (3s+19)/(s(s+1))

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simplify 3/s+(16)/(s(s+1))

simplify

\frac{3}{s} + \frac{16}{s ( s + 1 )}

\frac{3 s + 19}{s ( s + 1 )}

Solution steps

\frac{3}{s} + \frac{16}{s ( s + 1 )}

Least Common Multiplier of

s, s (s + 1) : s (s + 1)

Adjust Fractions based on the LCM

= \frac{3 ( s + 1 )}{s ( s + 1 )} + \frac{16}{s ( s + 1 )}

Apply the fraction rule:

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

= \frac{3 ( s + 1 ) + 16}{s ( s + 1 )}

Simplify

3 (s + 1) + 16 : 3 s + 19

= \frac{3 s + 19}{s ( s + 1 )}

∣ 9 x + 5 ∣ < 42

x^{2} \leq 4 x + 77

\frac{1}{2} + \frac{1}{4} \cdot \frac{3}{4}

- \frac{1}{2} \cdot 2

5 - 1

What is 3/s+(16)/(s(s+1)) ?
The solution to 3/s+(16)/(s(s+1)) is (3s+19)/(s(s+1))