On the following composite figure, all angles are right angles. All short edges of the figure have a measure of 1.5 centimeters.
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Multiply and simplify (3 + i)(4 + 2i)
(3 + i)(4 + 2i) = (3*4) + (3*2i) + (4*i) + (2i*i) = 12 + 6i + 4i + 2i^2
i^2 = -1
12 + 6i + 4i + 2i^2 = 12 + 6i + 4i -2 = 10 + 10i
Use the imaginary number i to rewrite the expression:
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