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Section 1.7 : Complex Numbers

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

\[\left( {1 + 4i} \right) - \left( { - 16 + 9i} \right)\]
Show Solution

We know how to subtract two polynomials and so we also know how to subtract two complex numbers.

\[\left( {1 + 4i} \right) - \left( { - 16 + 9i} \right) = 1 + 4i + 16 - 9i = \require{bbox} \bbox[2pt,border:1px solid black]{{17 - 5i}}\]