What is (100(s+2))/(s(s^2+4)(s+1))e^{-s} ?

The solution to (100(s+2))/(s(s^2+4)(s+1))e^{-s} is (100(s+2))/(e^ss(s+1)(s^2+4))

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simplify (100(s+2))/(s(s^2+4)(s+1))e^{-s}

simplify

\frac{100 ( s + 2 )}{s ( s ^{2} + 4 ) ( s + 1 )} e^{- s}

\frac{100 ( s + 2 )}{e ^{s} s ( s + 1 ) ( s ^{2} + 4 )}

Solution steps

\frac{100 ( s + 2 )}{s ( s ^{2} + 4 ) ( s + 1 )} e^{- s}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{100 ( s + 2 )}{s ( s ^{2} + 4 ) ( s + 1 )} \cdot \frac{1}{e ^{s}}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{100 ( s + 2 ) \cdot 1}{s ( s ^{2} + 4 ) ( s + 1 ) e ^{s}}

Multiply the numbers:

100 \cdot 1 = 100

= \frac{100 ( s + 2 )}{e ^{s} s ( s ^{2} + 4 ) ( s + 1 )}

(ln (1))^{- 1}

0.75 \cdot 1 0^{- 6}

0.128 (\frac{1}{0.08205 \cdot 298.15})^{- 2}

\frac{d}{d x} ((x^{2} + y^{2})^{2})

What is (100(s+2))/(s(s^2+4)(s+1))e^{-s} ?
The solution to (100(s+2))/(s(s^2+4)(s+1))e^{-s} is (100(s+2))/(e^ss(s+1)(s^2+4))