Question

If a+b+c=0 then
$a^{3} + b^{3} + c^{3}$
is equal to
what and How.
​

Answer 1

Answer:

3ABC

Step-by-step explanation:

a^3 + b^3 + c^3 = (a + b + c) X ( a^2 + b^2 + c^2 – ab – be – ca ) + 3abc

a^3 + b^3 + c^3 – 3 abc = ( a + b + c ) X ( a^2 + b^2 + c^2 – ab – bc - ca )  

a^3 + b^3 + c^3 – 3 abc = 0 X ( a^2 + b^2 + c^2 – ab – bc - ca ) [∴ a + b + c = 0]

a^3 + b^3 + c^3 – 3 abc = 0

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