What is expand 13/2 (e^{3t}-e^{-3t}) ?

The solution to expand 13/2 (e^{3t}-e^{-3t}) is 13/2 e^{3t}-13/2 e^{-3t}

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expand 13/2 (e^{3t}-e^{-3t})

expand

\frac{13}{2} (e^{3 t} - e^{- 3 t})

\frac{13}{2} e^{3 t} - \frac{13}{2} e^{- 3 t}

Solution steps

\frac{13}{2} (e^{3 t} - e^{- 3 t})

Apply the distributive law:

a (b - c) = ab - a c

a = \frac{13}{2}, b = e^{3 t}, c = e^{- 3 t}

= \frac{13}{2} e^{3 t} - \frac{13}{2} e^{- 3 t}

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(\frac{5 ^{- 3}}{5 ^{- 5}})^{2}

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What is expand 13/2 (e^{3t}-e^{-3t}) ?
The solution to expand 13/2 (e^{3t}-e^{-3t}) is 13/2 e^{3t}-13/2 e^{-3t}