What is 2/(s^2+4s+8)+1/(s+2) ?

The solution to 2/(s^2+4s+8)+1/(s+2) is (s^2+6s+12)/((s+2)(s^2+4s+8))

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simplify 2/(s^2+4s+8)+1/(s+2)

simplify

\frac{2}{s ^{2} + 4 s + 8} + \frac{1}{s + 2}

\frac{s ^{2} + 6 s + 12}{( s + 2 ) ( s ^{2} + 4 s + 8 )}

Solution steps

\frac{2}{s ^{2} + 4 s + 8} + \frac{1}{s + 2}

Least Common Multiplier of

s^{2} + 4 s + 8, s + 2 : (s + 2) (s^{2} + 4 s + 8)

Adjust Fractions based on the LCM

= \frac{2 ( s + 2 )}{( s + 2 ) ( s ^{2} + 4 s + 8 )} + \frac{s ^{2} + 4 s + 8}{( s + 2 ) ( s ^{2} + 4 s + 8 )}

Apply the fraction rule:

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

= \frac{2 ( s + 2 ) + s ^{2} + 4 s + 8}{( s + 2 ) ( s ^{2} + 4 s + 8 )}

Simplify

2 (s + 2) + s^{2} + 4 s + 8 : s^{2} + 6 s + 12

= \frac{s ^{2} + 6 s + 12}{( s + 2 ) ( s ^{2} + 4 s + 8 )}

\frac{e ^{- 4} \cdot 4 ^{1}}{1 !}

\frac{4}{x - 4} - \frac{2}{x - 5}

x^{2} (- x)

5 3 a^{2} \cdot 4 25 a^{4}

1.08

What is 2/(s^2+4s+8)+1/(s+2) ?
The solution to 2/(s^2+4s+8)+1/(s+2) is (s^2+6s+12)/((s+2)(s^2+4s+8))