Edexcel FP1 2011 January — Question 1

Exam BoardEdexcel
ModuleFP1 (Further Pure Mathematics 1)
Year2011
SessionJanuary
TopicComplex Numbers Arithmetic
TypeMultiplication and powers of complex numbers
1. $$z = 5 - 3 \mathrm { i } , \quad w = 2 + 2 \mathrm { i }$$ Express in the form \(a + b \mathrm { i }\), where \(a\) and \(b\) are real constants,
  1. \(z ^ { 2 }\),
  2. \(\frac { z } { w }\).
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