Edexcel FP1 2013 June — Question 1

Exam BoardEdexcel
ModuleFP1 (Further Pure Mathematics 1)
Year2013
SessionJune
TopicComplex Numbers Arithmetic
TypeMultiplication and powers of complex numbers

  1. The complex numbers \(z\) and \(w\) are given by
$$z = 8 + 3 \mathrm { i } , \quad w = - 2 \mathrm { i }$$ Express in the form \(a + b \mathrm { i }\), where \(a\) and \(b\) are real constants,
  1. \(z - w\),
  2. \(z w\).