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Solution:
Given expression is
(3 + 4i) + (5 - 2i)
It is the addition of two complex numbers. We add the real parts together and the imaginary parts together.
(3 + 4i) + (5 - 2i)
=(3 + 5 + 4i - 2i)
= (3 + 5) + (4 - 2)i
= 8 + 2i
Therefore, the simplified form of (3 + 4i) + (5 - 2i) is 8 + 2i.
Summary:
The simplified form of the given expression (3 + 4i) + (5 - 2i) is 8 + 2i.