Question

If a + b + c = 0, then write the value of $\frac{a^2}{bc}+\frac{b^2}{ca}+\frac{c^2}{ab}.$

Answer 1

$\frac{a^2}{bc}+\frac{b^2}{ca}+\frac{c^2}{ab}=\frac{a^3+b^3+c^3}{abc}Ifa+b+c=0Then,a^3+b^3+c^3=3abc\therefore \frac{a^3+b^3+c^3}{abc}=\frac{3abc}{abc}=3$