Question

if a+b+c = 0 , then a³+b³+c³ = ____

Answer 1

Step-by-step explanation:

3abc is yur answer dear.....

Answer 2

If a + b + c = 0

Therefore,

a + b + c = 0

a + b = - c ----(1)

(a + b)^3 = (- c)^3

a^3 + b^3 + 3ab (a + b) = - c^3

from equation (I) a + b = - c

a^3 + b^3 + 3ab (- c) = - c^3

a^3 + b^3 - 3abc = - c^3

a^3 + b^3 + c^3 = 3abc

Hence,

a^3 + b^3 + c^3 ‘not equal’ 0

but,

a^3 + b^3 + c^3 ‘equal’ 3abc