Question 151
If $a(b + c) + b(c + a) + c(a + b) = ab + bc + ca$, then
$$
\frac{a^2(b+c) + b^2(a+c) + c^2(a+b)}{abc}
$$
is an integer.
$$
\frac{a^2(b+c) + b^2(a+c) + c^2(a+b)}{abc}
$$
is an integer.
MathNet 2008-part-03 — 165 problems (EN–VI) Question 151
Math Olympiad Vault · MathNet 2008-part-03 — 165 problems (EN–VI)