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Assortment of operations

Assortment of operations

IB Year 6 | Grade 12

Evaluate each of these terms, expressing them in the standard Cartesian form.

  1. \((3+i)(4-6i)\)
  2. \((-3+2i)^4\)
  3. \(\frac{3+2i}{4-5i}\)
  4. \(\frac{-3(2-5i)(4-7i)}{1+i}\)

Solution:

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Answer:(i) \(18-14i\) (ii) \(-119-120i\) (iii) \(\frac2{41}+\frac{23}{41}i\) (iv) \(\frac{183}{2}+\frac{21}{2}i\).

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