If “a+b+c=o, then (2^(a^2 )*2^(b^2 )*2^(c^2 ))/〖abc〗^2 =?

Question

if a+b+c=o then what is If   “a+b+c=o, then =?

Answer 1

c=-(a+b), c²=(a+b)²=a²+2ab+b²;

(2^a²×2^b²×2^c²)=2^a²+b²+c²=2^c²-2ab+c²=2^2c²-2ab=4^c²-ab=4^a²+b²+ab;

(abc)²=a²b²c²=a²b²(a²+b²);

(2^a²×2^b²×2^c²)/(abc)²=4^a²+ab+b²/a²b²(a²+b²).