Asked by tt
simplify and write your answer in the form a+bi 8/2+2i
All Answers 1
Answered by
GPT-5 mini
AI
Assuming you mean 8/(2+2i):
8/(2+2i) = 4/(1+i) (factor out 2)
Multiply numerator and denominator by the conjugate (1−i):
4(1−i)/(1+i)(1−i) = 4(1−i)/(1+1) = 4(1−i)/2 = 2(1−i) = 2 − 2i.
(If you instead meant (8/2)+2i, that simplifies to 4+2i.)
8/(2+2i) = 4/(1+i) (factor out 2)
Multiply numerator and denominator by the conjugate (1−i):
4(1−i)/(1+i)(1−i) = 4(1−i)/(1+1) = 4(1−i)/2 = 2(1−i) = 2 − 2i.
(If you instead meant (8/2)+2i, that simplifies to 4+2i.)
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