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College Algebra  /  Alg 185  ·  Atom · ~20 seconds

Multiplying Complex Numbers

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Complex numbers multiply by distribution, with i² replaced by −1 wherever it appears.

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(2 + 3i)(1 + 4i) runs FOIL: 2 + 8i + 3i + 12i² = 2 + 11i − 12 = −10 + 11i.

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The i² step is where the arithmetic turns.

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