What is expand e^{-2-sqrt(5)}(6+4sqrt(5)) ?

The solution to expand e^{-2-sqrt(5)}(6+4sqrt(5)) is 6e^{-2-sqrt(5)}+4sqrt(5)e^{-2-sqrt(5)}

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expand e^{-2-sqrt(5)}(6+4sqrt(5))

expand

e^{- 2 - 5} (6 + 45)

6 e^{- 2 - 5} + 45 e^{- 2 - 5}

Solution steps

e^{- 2 - 5} (6 + 45)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{- 2 - 5}, b = 6, c = 45

= e^{- 2 - 5} \cdot 6 + e^{- 2 - 5} \cdot 45

= 6 e^{- 2 - 5} + 45 e^{- 2 - 5}

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What is expand e^{-2-sqrt(5)}(6+4sqrt(5)) ?
The solution to expand e^{-2-sqrt(5)}(6+4sqrt(5)) is 6e^{-2-sqrt(5)}+4sqrt(5)e^{-2-sqrt(5)}