What is (10)/((s+1)(s+2))e^{-2s} ?

The solution to (10)/((s+1)(s+2))e^{-2s} is (10)/(e^{2s)(s+1)(s+2)}

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simplify (10)/((s+1)(s+2))e^{-2s}

simplify

\frac{10}{( s + 1 ) ( s + 2 )} e^{- 2 s}

\frac{10}{e ^{2 s} ( s + 1 ) ( s + 2 )}

Solution steps

\frac{10}{( s + 1 ) ( s + 2 )} e^{- 2 s}

Apply exponent rule:

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

= \frac{10}{( s + 1 ) ( s + 2 )} \cdot \frac{1}{e ^{2 s}}

Multiply fractions:

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

= \frac{10 \cdot 1}{( s + 1 ) ( s + 2 ) e ^{2 s}}

Multiply the numbers:

10 \cdot 1 = 10

= \frac{10}{e ^{2 s} ( s + 1 ) ( s + 2 )}

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What is (10)/((s+1)(s+2))e^{-2s} ?
The solution to (10)/((s+1)(s+2))e^{-2s} is (10)/(e^{2s)(s+1)(s+2)}