Operations with Complex Numbers When adding or subtracting imaginary numbers, the complex part can be added or subtracted and the real part can be added or subtracted , but the real and imaginary parts cannot be combined. EXAMPLES: A) (2+3i)+(6+i) B) (8-2i)+(5-9i) C) (4+5i)-(1+7i)

## Step 1: Identify the real and imaginary parts### The given expression is . Both terms are purely imaginary, with no real component.## Step 2: Group like terms### Combine the imaginary terms: ## Step 3: Simplify### Perform the addition: . Since there is no real part, the complex number is .