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Section 1.7 : Complex Numbers

Perform the indicated operation and write your answer in standard form.

  1. \(\left( {4 - 5i} \right)\left( {12 + 11i} \right)\) Solution
  2. \(\left( { - 3 - i} \right) - \left( {6 - 7i} \right)\) Solution
  3. \(\left( {1 + 4i} \right) - \left( { - 16 + 9i} \right)\) Solution
  4. \(8i\left( {10 + 2i} \right)\) Solution
  5. \(\left( { - 3 - 9i} \right)\left( {1 + 10i} \right)\) Solution
  6. \(\left( {2 + 7i} \right)\left( {8 + 3i} \right)\) Solution
  7. \(\displaystyle \frac{{7 - i}}{{2 + 10i}}\) Solution
  8. \(\displaystyle \frac{{1 + 5i}}{{ - 3i}}\) Solution
  9. \(\displaystyle \frac{{6 + 7i}}{{8 - i}}\) Solution