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3. simplify (8 + 2i) - (6 - 3i) + (4 - i). 6 - 2i 18 + 4i 6 + 4i 6 + 6i

Question

  1. simplify (8 + 2i) - (6 - 3i) + (4 - i). 6 - 2i 18 + 4i 6 + 4i 6 + 6i

Explanation:

Step1: Remove parentheses

$(8 + 2i)-(6 - 3i)+(4 - i)=8 + 2i-6 + 3i+4 - i$

Step2: Combine real - part terms

$(8-6 + 4)+(2i+3i - i)$
The real - part calculation: $8-6 + 4=6$

Step3: Combine imaginary - part terms

The imaginary - part calculation: $2i+3i - i=(2 + 3-1)i=4i$

Answer:

$6 + 4i$