Question 119
If (a + b + c) = 0, then $$(\frac{a^{2}}{bc}+\frac{b^{2}}{ca}+\frac{c^{2}}{ab})$$ is
Solution
given (a + b + c) = 0
if (a + b + c) = 0,
$$a^{3}+b^{3}+c^{3}=3abc$$
$$\frac{a^{3}+b^{3}+c^{3}}{abc}=3$$
$$\frac{a^{3}}{abc}+\frac{b^{3}}{abc}+\frac{c^{3}}{abc}=3$$
$$\frac{a^{2}}{bc}+\frac{b^{2}}{ca}+\frac{c^{2}}{ab}=3$$
so the answer is option A.
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