What is factor 8e^{wt}-8e^{-wt} ?

The solution to factor 8e^{wt}-8e^{-wt} is 8e^{-wt}(e^{wt}+1)(e^{wt}-1)

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factor 8e^{wt}-8e^{-wt}

factor

8 e^{wt} - 8 e^{- wt}

8 e^{- wt} (e^{wt} + 1) (e^{wt} - 1)

Solution steps

8 e^{wt} - 8 e^{- wt}

Apply exponent rule:

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

e^{wt} = e^{- wt} e^{2 wt}

= 8 e^{- wt} e^{2 wt} - 8 e^{- wt}

Rewrite as

= 8 e^{- wt} e^{2 wt} - 1 \cdot 8 e^{- wt}

Factor out common term

8 e^{- wt}

= 8 e^{- wt} (e^{2 wt} - 1)

Factor

e^{2 wt} - 1 : (e^{wt} + 1) (e^{wt} - 1)

= 8 e^{- wt} (e^{wt} + 1) (e^{wt} - 1)

x^{2} + k x + (3 + 11 k)

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(x^{70} - 6) + 36 ma yo r^{42}

What is factor 8e^{wt}-8e^{-wt} ?
The solution to factor 8e^{wt}-8e^{-wt} is 8e^{-wt}(e^{wt}+1)(e^{wt}-1)