What is expand (1+sqrt(5))e^4 ?

The solution to expand (1+sqrt(5))e^4 is e^4+sqrt(5)e^4

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expand (1+sqrt(5))e^4

expand

(1 + 5) e^{4}

e^{4} + 5 e^{4}

Solution steps

(1 + 5) e^{4}

= e^{4} (1 + 5)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{4}, b = 1, c = 5

= e^{4} \cdot 1 + e^{4} 5

= 1 \cdot e^{4} + 5 e^{4}

Multiply:

1 \cdot e^{4} = e^{4}

= e^{4} + 5 e^{4}

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What is expand (1+sqrt(5))e^4 ?
The solution to expand (1+sqrt(5))e^4 is e^4+sqrt(5)e^4