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Simplify: (2 + 3i)(4 - 5i) Select one: a. 18 + 6i b. 23 + 2i c. 6 - 2i d. 8 - 15i
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|dw:1395010141468:dw| (a+b)(c+d) = ac+ad+bc+bd so here (2 + 3i)(4 - 5i) = 2(4) + 2(-5i) + 3i(4) + 3i(-5i) = 8 -10i +12i - 15i2 where i2 = -1 = 8 + 2i +15 = 23 + 2i
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