Question

if a^3+b^3+c^3=3abc then a+b+c= ? If(a#b#c)

Answer 1

if this is the condition then by using the formula (a+b+c)^3=(a^3+b^3+c^3)+3(a+b)(b+c)(c+a)
we can find the required answer
I think answer is 1
if it helps plz mark it as y

Answer 2

Answer:

a + b + c = 0

Step-by-step explanation:

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

Now a³ + b³ + c³ = 3 abc

So,  (a+b+c) (a²+b²+c²-(ab+bc+ca))  = 0

Hence the possibility is a = b = c , so (a²+b²+c²-(ab+bc+ca)) =  a² + a²+ a² - (aa + aa + aa)

Hence a+b+c = 3 a ( a= b= c)

Now,  a, b and c is not same as per question.

So only possibility left is (a+b+c) = 0