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An archived instance of discourse for discussion in undergraduate Complex Variables.

Exam 1 Review In Class Expansion

DPR

Took a quick look at the problem provided in class of z+2z3 . I think expanding it it is just basic algebra but I was wondering if there was an easier way maybe converting to polar with Euler's to avoid the cubic.
Here's what I tried quickly:
z+2z3(a+bi)+2(a+bi)3(a+bi)+2[(a33ab2)+i(3a2bb3)](a+bi)+2a36ab2+6a2bi2b3i(2a36ab2+a)+i(6a2b2b3+b)






mark

@DPR Looks good to me! I don't think there's any particular advantage to using polar form.