Answer:
(5 i + 2)/2
Step-by-step explanation:
Simplify the following:
1 + (-i + 0)/(-2) + 2 i
Multiply numerator and denominator of (-i + 0)/(-2) by -1:
1 + (-(-i))/2 + 2 i
(-1)^2 = 1:
1 + i/2 + 2 i
Put each term in 1 + i/2 + 2 i over the common denominator 2: 1 + i/2 + 2 i = 2/2 + i/2 + (4 i)/2:
2/2 + i/2 + (4 i)/2
2/2 + i/2 + (4 i)/2 = (2 + i + 4 i)/2:
(2 + i + 4 i)/2
Add like terms. 2 + i + 4 i = 2 + 5 i:
Answer: (5 i + 2)/2
