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

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

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

simplify

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

\frac{2 s + 1}{e ^{2 s} s ^{2}}

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

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

= \frac{\frac{1}{s ^{2}} + \frac{2}{s}}{e ^{2 s}}

Join

\frac{1}{s ^{2}} + \frac{2}{s} : \frac{1 + 2 s}{s ^{2}}

= \frac{\frac{1 + 2 s}{s ^{2}}}{e ^{2 s}}

Apply the fraction rule:

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

= \frac{1 + 2 s}{s ^{2} e ^{2 s}}

5 a^{2} b (9 a b^{6} c)

6

0.5 \cdot (8.87 \cdot 1 0^{- 6}) \cdot 0.12288

\frac{3. 9 ^{3}}{3 !} \cdot e^{- 3.9}

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