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Question

Express (5-3i)3 in the form a+ib.

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Solution

(5-3i)^3 =(5)³ −(3i)³ − 3(5)(3i)(5−3i)
=125 +27i − 45i(5−3i)
=125 +27i − 225i+135i²
=125 +27i − 225i−135
=−10−198i

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