Question

What is the value of (–7 + 3i) – (2 – 6i)?

Answer 1

9 (i - 1)

Explanation:

Simplify the following:

-7 + 3 i - (-6 i + 2)

Hint: | Distribute -1 over 2 - 6 i.

-(2 - 6 i) = -2 + 6 i:

-2 + 6 i - 7 + 3 i

Hint: | Evaluate -2 + 6 i - 7 + 3 i.

-2 + 6 i - 7 + 3 i = (6 i + 3 i) + (-2 - 7) = -9 + 9 i:

9 i - 9

Hint: | Factor common terms from 9 i - 9.

Factor 9 out of 9 i - 9 giving 9 (i - 1):

Answer: 9 (i - 1)