What is expand (1+i)*e^{i/(1+i)} ?

The solution to expand (1+i)*e^{i/(1+i)} is 1*e^{i/(1+i)}+ie^{i/(1+i)}

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expand (1+i)*e^{i/(1+i)}

expand

(1 + i) \cdot e^{\frac{i}{1 + i}}

1 \cdot e^{\frac{i}{1 + i}} + i e^{\frac{i}{1 + i}}

Solution steps

(1 + i) e^{\frac{i}{1 + i}}

= e^{\frac{i}{1 + i}} (1 + i)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{\frac{i}{1 + i}}, b = 1, c = i

= e^{\frac{i}{1 + i}} \cdot 1 + e^{\frac{i}{1 + i}} i

= 1 \cdot e^{\frac{i}{1 + i}} + i e^{\frac{i}{1 + i}}

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What is expand (1+i)*e^{i/(1+i)} ?
The solution to expand (1+i)*e^{i/(1+i)} is 1*e^{i/(1+i)}+ie^{i/(1+i)}