What is (x+yi)*e^{x+yi} ?

The solution to (x+yi)*e^{x+yi} is e^x(x+iy)(cos(y)+isin(y))

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simplify (x+yi)*e^{x+yi}

simplify

(x + y i) \cdot e^{x + y i}

e^{x} (x + i y) (cos (y) + i sin (y))

Solution steps

(x + y i) e^{x + y i}

e^{x + y i} = e^{x} (cos (y) + i sin (y))

= e^{x} (x + i y) (cos (y) + i sin (y))

\frac{( 1 + c ) ^{2}}{c}

x^{\frac{1}{2}} \cdot (x^{2} - x)

(x^{4} e^{9 x} + 3) x

(1 - \frac{1}{x}) (1 - \frac{1}{x})

tan (θ) (1 - cot^{2} (θ)) + cot (θ) (1 - tan^{2} (θ))

What is (x+yi)*e^{x+yi} ?
The solution to (x+yi)*e^{x+yi} is e^x(x+iy)(cos(y)+isin(y))