What is expand e^{6t}(t+e^{-3t}) ?

The solution to expand e^{6t}(t+e^{-3t}) is e^{6t}t+e^{3t}

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expand e^{6t}(t+e^{-3t})

expand

e^{6 t} (t + e^{- 3 t})

e^{6 t} t + e^{3 t}

Solution steps

e^{6 t} (t + e^{- 3 t})

Apply the distributive law:

a (b + c) = ab + a c

a = e^{6 t}, b = t, c = e^{- 3 t}

= e^{6 t} t + e^{6 t} e^{- 3 t}

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

= e^{6 t} t + e^{3 t}

\frac{( x - 2 ) ( x + 2 )}{x ^{4} ( 2 x + 7 )}

(2 x e^{- 2 x} + e^{- 2 x}) e^{2 x}

- \frac{2 x}{( x + y ) ^{3}}

(\frac{x + y - 4 β}{4}) (0, - 6, - 6)

4 (16)

What is expand e^{6t}(t+e^{-3t}) ?
The solution to expand e^{6t}(t+e^{-3t}) is e^{6t}t+e^{3t}