p2 + q2 - r2 = 0 అయితే, (p^6 + q^6 - r^6 ) ÷ p^2 q^2 r^2 యొక్క విలువ:

Let a = p², b = q², c = −r². Then a + b + c = 0, so a³ + b³ + c³ = 3abc, i.e. p⁶ + q⁶ − r⁶ = −3p²q²r². Dividing by p²q²r² gives −3.