If (a + bi)(a - bi) = 37 and a - b = 3, then a² + b² equals?
- 17
- 27
- 37
- None of these
Explanation
(a + bi)(a - bi) is a standard identity:
(a + bi)(a - bi) = a² - (bi)² = a² - b²i² = a² - b²(-1) = a² + b²
So a² + b² = 37 directly.
Last verified on 13-05-2026
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