What is factor 1-e^{-2at} ?

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

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factor 1-e^{-2at}

factor

1 - e^{- 2 a t}

- (e^{- a t} + 1) (e^{- a t} - 1)

Solution steps

1 - e^{- 2 a t}

Apply exponent rule:

a^{b c} = (a^{b})^{c}

e^{- 2 a t} = (e^{- a t})^{2}

= 1 - (e^{- a t})^{2}

Factor out common term

- 1

= - ((e^{- a t})^{2} - 1)

Factor

(e^{- a t})^{2} - 1 : (e^{- a t} + 1) (e^{- a t} - 1)

= - (e^{- a t} + 1) (e^{- a t} - 1)

x^{2} + x y - x z - yz

2^{(4)_{10}}

a^{3} - a^{3} + a - 1

\frac{1 - ( - 2 ) ^{11}}{11}

3 w + (- 8)

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