9514 1404 393
Answer:
D. 28 +10i
Explanation:
As with any "collect terms" problem, you first identify the like terms, then add their coefficients. You can start with either the real or the imaginary terms to obtain a result that will point you to the correct answer choice. Of course, the distributive property works in the usual way.
(3i+ 4) -i + 4(6 +2i) = 3i +4 -i +24 +8i . . . . eliminate parentheses
= (4 +24) +(3 -1 +8)i . . . . . . . group like terms
= 28 +10i