Question 88
Do there exist positive integers $a, b, c$, such that they have no common divisor and
$$
ab + bc + ca = (a + b - c)(b + c - a)(c + a - b)?
$$
$$
ab + bc + ca = (a + b - c)(b + c - a)(c + a - b)?
$$
MathNet 2016-part-01 — 184 problems (EN–VI) Question 88
Math Olympiad Vault · MathNet 2016-part-01 — 184 problems (EN–VI)