Question

if a+b+c=0,show that: a^3+b^3+c^3=3abc.​

Answer 1

Step-by-step explanation:

as there are 3 used in the calculation so that is why 3 is common and also a +b+c is there that is why the answer is 3abc

Answer 2

Answer:

a+b+c=0

a+b=-c

(a+b)³=(-c) ³

a³+b³+3ab(a+b)=(-c) ³

from 2nd line

a³+b³+3ab(-c) =(-c) ³

a³+b³-3abc=-c³

a³+b³+c³=3abc proved