What is expand (1-x+x*e^{-i*y})^2 ?

The solution to expand (1-x+x*e^{-i*y})^2 is 2e^{-iy}x-2e^{-iy}x^2+e^{-2iy}x^2-2x+x^2+1

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expand (1-x+xe^{-iy})^2

expand

(1 - x + x \cdot e^{- i \cdot y})^{2}

2 e^{- i y} x - 2 e^{- i y} x^{2} + e^{- 2 i y} x^{2} - 2 x + x^{2} + 1

Solution steps

(1 - x + x e^{- i y})^{2}

= (1 - x + e^{- i y} x)^{2}

(1 - x + x e^{- i y})^{2} = (1 - x + x e^{- i y}) (1 - x + x e^{- i y})

= (e^{- i y} x - x + 1) (e^{- i y} x - x + 1)

Expand

(1 - x + x e^{- i y}) (1 - x + x e^{- i y}) : 2 e^{- i y} x - 2 e^{- i y} x^{2} + e^{- 2 i y} x^{2} - 2 x + x^{2} + 1

= 2 e^{- i y} x - 2 e^{- i y} x^{2} + e^{- 2 i y} x^{2} - 2 x + x^{2} + 1

\frac{ln ( 81 )}{4}

- 2 (x + \frac{3}{4})^{2} + \frac{65}{8}

\frac{\partial}{\partial u} ((x) (4 u - 2 uv))

(4 - 23) π

e^{x} tanh (x) \times (2 csch (2 x) + 1)

What is expand (1-x+x*e^{-i*y})^2 ?
The solution to expand (1-x+x*e^{-i*y})^2 is 2e^{-iy}x-2e^{-iy}x^2+e^{-2iy}x^2-2x+x^2+1