SOLUTION: For i =ROOT -1 , which of the following complex numbers is equivalent to (10i − 4i2) − (7 − 3i) ? A) −11 + 7i B) −3 + 13i C) 3 - 13i D) 11 - 7i

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Question 1151737: For i =ROOT -1 , which of the following complex numbers is equivalent to
(10i − 4i2) − (7 − 3i) ?
A) −11 + 7i
B) −3 + 13i
C) 3 - 13i
D) 11 - 7i
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

i%5E2 = -1.


Therefore,


(10i − 4i^2) − (7 − 3i) = (10i - 4*(-1)) - (7 - 3i) = (10i +4) - (7 - 3i) = 


          = group real part and imaginary part separately = 


          = (4 - 7) + (10i + 3i) = -3 + 13i.     ANSWER


Now open your eyes widely and compare my answer with optional answers.