Question

If a + b + c is not equal to zero and a^3 + b^3 + c^3 = 3abc , prove a = b = c

Answer 1

Step-by-step explanation:

$\Huge\red{\mathfrak{ Answer }}$

Here apply the algebraic formula

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

here

if a+b+c= 0 then only

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

otherwise it will not be equal

hope it helps ✌

Answer 2

Answer:

heya mate !! how's gojng on ? here is your answer !!+!

I think

It’s not required that a=b=c for this identity to hold true.

As we know

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

If a+b+c = 0 , then your given statement is true

Also if a=b=c then either all are positive numbers or all should be negative numbers which cannot sum upto zero.

hope that helps !!

pls mark brainliest

Step-by-step explanation: