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Mathematics
Jan Wiley
Today, 05:07
How to solve (-2-2i) (-4-3i) (7+8i)
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Emerson Best
Today, 07:13
0
Step 1-F. O. I. L.: (-2-2i) (-4-3i)
8+6i+8i+3i^2
We know i^2=-1, so ...
8+14i-3
5+14i
Step 2-F. O. I. L. again: (5+14i) (7+8i)
35+40i+98i+112i^2
35+138i-112
-77+138i
Note: "F. O. I. L." stands for "First, Outer, Inner, Last". In other words, distribute the terms of the first binomial to the other, in that order. So, (5+14i) (7+8i) should be done as follows:
5*7=56
5*8i=40i
14i*7=98i
14i*8i=112i^2
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