Simplify the following expression: (8−2i)−(1−4i)
Question
Simplify the following expression: (8−2i)−(1−4i)
Solution
To simplify the expression (8−2i)−(1−4i), follow these steps:
Step 1: Distribute the negative sign to the terms in the second parentheses. This changes the expression to: (8−2i) - 1 + 4i.
Step 2: Combine like terms. The real numbers are 8 and -1, and the imaginary numbers are -2i and 4i. This simplifies the expression to: (8 - 1) + (-2i + 4i).
Step 3: Simplify further to get: 7 + 2i.
So, (8−2i)−(1−4i) simplifies to 7 + 2i.
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