What is factor e^{3x}-e^{-3x} ?

The solution to factor e^{3x}-e^{-3x} is e^{-3x}(e^x+1)(e^x-1)(e^{4x}+e^{2x}+1)

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factor e^{3x}-e^{-3x}

factor

e^{3 x} - e^{- 3 x}

e^{- 3 x} (e^{x} + 1) (e^{x} - 1) (e^{4 x} + e^{2 x} + 1)

Solution steps

e^{3 x} - e^{- 3 x}

Apply exponent rule:

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

e^{3 x} = e^{- 3 x} e^{6 x}

= e^{- 3 x} e^{6 x} - e^{- 3 x}

Factor out common term

e^{- 3 x}

= e^{- 3 x} (e^{6 x} - 1)

Factor

e^{6 x} - 1 : (e^{x} + 1) (e^{x} - 1) (e^{4 x} + e^{2 x} + 1)

= e^{- 3 x} (e^{x} + 1) (e^{x} - 1) (e^{4 x} + e^{2 x} + 1)

12 y 2 a - 43 y a + 35

- x cos (- x n + x)

2 w + 6 - 10 e

(- a) - 3

- 2 (- 3) - 3

What is factor e^{3x}-e^{-3x} ?
The solution to factor e^{3x}-e^{-3x} is e^{-3x}(e^x+1)(e^x-1)(e^{4x}+e^{2x}+1)