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How would I simplify (3 + 4i)(2-i) ?

+2 votes

I really could use some help with this problem!

Simplify (3 + 4i)(2-i) 

Please & thank youu!

asked Jan 17, 2013 in ALGEBRA 1 by anonymous Apprentice

1 Answer

+1 vote

    (3 + 4i)(2-i)

    Multiply the terms using FOIL ( first outer inner last)  method

    The general form is  (a +b) (c+ d) = ac + ad + bc + bd

    3(2) - 3(i) + 4i (2) -4i (i)

    6 - 3i + 8i - 4 i²

   Substitute i² = -1

   6 + 5i - 4(-1)

   6 + 5i +4

   5i + 10

   The simplified solution is  5i + 10

   

answered Jan 17, 2013 by Johncena Apprentice

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