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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)

Question

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)

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)

Solution

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AlexeiElite · Tutor for 8 years

Answer

### $17i$

Explain

## Step 1: Identify the real and imaginary parts<br />### The given expression is $9i + 8i$. Both terms are purely imaginary, with no real component.<br /><br />## Step 2: Group like terms<br />### Combine the imaginary terms: $(9 + 8)i$<br /><br />## Step 3: Simplify<br />### Perform the addition: $17i$. Since there is no real part, the complex number is $0 + 17i$.
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