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Given (5 + 3i)3
= 53 + (3i)3 + 3*5*3i*(5 + 3i)
= 125 - 27i + 45i(5 + 3i)
= 125 - 27i + 225i - 135
= -10 + 198i
So, (5 + 3i)3 = -10 + 198i