SOLUTION: Evaluate the expression (3+1i)(4i)/2-3i and write the result in the form a+bi. Then A= ____ and B= ____

Algebra ->  Expressions -> SOLUTION: Evaluate the expression (3+1i)(4i)/2-3i and write the result in the form a+bi. Then A= ____ and B= ____      Log On


   

Question 346726: Evaluate the expression (3+1i)(4i)/2-3i and write the result in the form a+bi. Then A= ____ and B= ____
Answer by haileytucki(390) About Me  (Show Source):
You can put this solution on YOUR website!
((3+1i)(4i))/(2-3i)
Remove the parentheses in the numerator and move the single term to the front of the expression.
(4i(3+1i))/(2-3i)
Arrange the variables alphabetically within the expression 1i. This is the standard way of writing an expression.
(4i(3+i))/(2-3i)
Rationalize the denominator with the complex conjugate to remove the imaginary term from the denominator.
(4i(3+i))/(2-3i)*(2+3i)/(2+3i)
Multiply out the complex conjugate factors in the denominator to remove the imaginary terms.
(4i(3+i)(2+3i))/(13)
Simplify the expression.
(3+11i)/(13)