What is factor e^{-sT}-e^{-2sT} ?

The solution to factor e^{-sT}-e^{-2sT} is e^{-2sT}(e^{sT}-1)

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factor e^{-sT}-e^{-2sT}

factor

e^{- s T} - e^{- 2 s T}

e^{- 2 s T} (e^{s T} - 1)

Solution steps

e^{- s T} - e^{- 2 s T}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

e^{- s T} = e^{- 2 s T} e^{s T}

= e^{- 2 s T} e^{s T} - e^{- 2 s T}

Factor out common term

e^{- 2 s T}

= e^{- 2 s T} (e^{s T} - 1)

6 + 23 - 2

[(p)]

x^{2} + 0 x + 0

5 + (26)

x^{2} + 0 x + 2

What is factor e^{-sT}-e^{-2sT} ?
The solution to factor e^{-sT}-e^{-2sT} is e^{-2sT}(e^{sT}-1)