Question

Perform the indicated operation
1-i/-2+2i

Answer 1

(5 i + 2)/2

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