(−1 + i)(−1 − i)
Solution
Sure, let's solve this step by step:
Step 1: Distribute the terms
(−1 + i)(−1 − i) = -1*(-1) + -1*(-i) + i*(-1) + i*(-i)
Step 2: Simplify the terms
= 1 + i - i - i^2
Step 3: Remember that i^2 = -1
= 1 - (-1)
Step 4: Simplify further
= 1 + 1
Step 5: Final answer
= 2
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