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Difficulties with Re


Of the following two expressions, the first "works", while the second
doesn't. How does one make it work?

Assuming[x > 0 && y > 0, Re[Exp[x + I y]] // Simplify]
Assuming[x > 0 && y > 0, Re[Exp[(x + I y)^2]] // Simplify]

Many thanks in advance,


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