Simplification · Question 28 · Hard
If a + b + c = 0 (with a, b, c non-zero), find the value of a²/(bc) + b²/(ca) + c²/(ab).
- 0
- 3
- 1
- −3
Answer and explanation
Answer: B. 3
Explanation: The expression equals (a³ + b³ + c³)/(abc). When a + b + c = 0, a³ + b³ + c³ = 3abc, so the value is 3abc/abc = 3.
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