Question

(3) If a3 + b3 + c3 = 3abc
and a + b + c = 0, then
(b + c)? (c + a)? (a + b)2
bc
ca
ah​

Answer 1

If a+b+c=0

a³+b³+c³-3abc=(a+b+c)(a²+b²+c²-ab-bc-ca)

a³+b³+c³=3abc(a+b+c)(a²+b²+c²-ab-bc-ca)

a³+b³+c³=3abc(0)(a²+b²+c²-ab-bc-ca) a³+b³+c³=3abc