SOLUTION: Please help me solve this equation: {{{(1-9i)(1-4i)(4-3i)}}}

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Question 680646: Please help me solve this equation: %281-9i%29%281-4i%29%284-3i%29
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
(1-9i)(1-4i)(4-3i)
...
(1-9i)(1-4i)
1(1) + 1(-4i) - 9i(1) - 9i(-4i)
1+-+4i+-+9i+%2B+36i%5E2
1+-+13i+%2B+36i%5E2
Knowing i%5E2+=+sqrt%28-1%29%5E2+=+-1
1+-+13i+%2B+36%28-1%29
1+-+13i+-+36
-35+-+13i
...
(-35-13i)(4-3i)
-35(4) - 35(-3i) - 13i(4) - 13i(-3i)
-140+%2B+105i+-+52i+%2B+39i%5E2
-140+%2B+53i+%2B+39%28-1%29
-140+%2B+53i+-+39
highlight_green%28-179+%2B+53i%29
.....................
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