SOLUTION: perform the indicated operation and simplify: 2-i/3+4i

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Question 36509: perform the indicated operation and simplify:


2-i/3+4i
Answer by benni1013(206) About Me  (Show Source):
You can put this solution on YOUR website!
2-i/3+4i==>multiply the top and bottom by the conjugate of the denominator==>
2-i(3-4i)/3+4i(3-4i)==>use the foil method==>6-8i-3i-4i^2/9-16i^2==>
Combine like terms==>6-11i-4i^2/9-16i^2==>i^2=1==>6-11i-4(-1)/9-16(-1)==>
Multiply==>6-11i+4/9+16==>Combine==>10-11i/9+16==>10-11i/25