MCQ
If a + b + c = 0, then $\Big(\frac{\text{a}^2}{\text{bc}}+\frac{\text{b}^2}{\text{ca}}+\frac{\text{c}^2}{\text{ab}}\Big)=$
- A1
- B3
- C0
- D2
✓
Answer
- 3
Solution:
$\Big(\frac{\text{a}^2}{\text{bc}}+\frac{\text{b}^2}{\text{ca}}+\frac{\text{c}^2}{\text{ab}}\Big)$
$=\frac{\text{a}^3+\text{b}^3+\text{c}^3}{\text{abc}}$
Since a + b + c = 0, then a3 + b3 + c3 = 3abc
Therefore,
$=\frac{3\text{abc}}{\text{abc}}$
$=3$
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