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Ch. 4 · FOIL method

Complex multiplication

Step through the solution

F · First

1 × 3 = 3

Multiply the first terms

O · Outer

1 × i = i

Multiply the outermost terms

I · Inner

2i × 3 = 6i

Multiply the innermost terms

L · Last

2i × i = 2i² = −2

i² = −1, so 2(−1) = −2

Result

(3−2) + (1+6)i = 1+7i

Group real and imaginary parts

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