SOLUTION: When simplifying expressions that involve complex numbers, How do I determine what the values of the numbers will be? I need help with solving expressions containing these. Ex:

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: When simplifying expressions that involve complex numbers, How do I determine what the values of the numbers will be? I need help with solving expressions containing these. Ex:      Log On


   

Question 585798: When simplifying expressions that involve complex numbers, How do I determine what the values of the numbers will be?
I need help with solving expressions containing these.
Ex:
(4-5i) (1-i)
(3-4i)/(4-3i)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%284+-+5i%29%2A+%281+-+i%29+
+1%2A4+-+1%2A5i+-+4i+%2B+5i%5E2+
Combine like terms. Note that +i%5E2+=+-1+
+1%2A4+%2B+5%2Ai%5E2+-+5i+-+4i+
+4+%2B+%28-1%29%2A5+-%28+5i+%2B+4i+%29+
+4+-+5+-+9i+
+-1+-+9i+
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+%28+3+-+4i+%29%2A%28+4+-+3i+%29+
+12+-+16i+-+9i+%2B+12i%5E2+
Combine like terms, again, +i%5E2+=+-1+
+12+%2B+12%2A%28-1%29+-+%28+16i+%2B+9i+%29+
+12+-+12+-+25i+
+-25i+
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