To multiply the complex numbers (7 - 2i) and (2 + 3i), we can use the FOIL method:
(7 - 2i)(2 + 3i) =
7(2) + 7(3i) - 2i(2) - 2i(3i) =
14 + 21i - 4i - 6i^2.
Remember that i^2 is defined as -1, so we can simplify further:
14 + 21i - 4i - 6i^2 =
14 + 17i - 6(-1) =
14 + 17i + 6 =
20 + 17i.
Therefore, (7 - 2i)(2 + 3i) = 20 + 17i.
(7-2i)(2+3i)
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