Perform the indicated operation

1-i/-2+2i

(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