SOLUTION: What is the product of (2-3i)(1-4i)?

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Question 540523: What is the product of (2-3i)(1-4i)?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use the foil method which is:
+%28+a+%2B+b+%29%2A%28+c+%2B+d+%29+=+a%2Ac+%2B+a%2Ad+%2B+b%2Ac+%2B+b%2Ad+
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Now you have to apply the rule: +i%5E2+=+-1+
Also, (-)x(-) = (+)
+%28+2+-+3i+%29%2A%28+1+-+4i+%29+=+2+-+8i+-+3i+%2B+12%2Ai%5E2+
+%28+2+-+3i+%29%2A%28+1+-+4i+%29+=+2+-+8i+-+3i+%2B+12%2A%28-1%29+
+%28+2+-+3i+%29%2A%28+1+-+4i+%29+=+2+-+8i+-+3i+-+12+
+%28+2+-+3i+%29%2A%28+1+-+4i+%29+=+-10+-+11i+