Question

if a+b+c=0 then a³+b³+c³=____​

Answer 1

(a+b+c)(a-b-c)(abc)

i hope it's the answer

Answer 2

Answer:

3abc is the correct answer

Step-by-step explanation:

If a + b + c = 0

Then,

a + b + c = 0

a + b = - c ...(I)

(a + b)³ = (- c)³

[From identity: (a+b)³ = a³ + b³ + 3ab(a+b)]

a³ + b³ + 3ab (a + b) = - c³

From equation (I) a + b = - c

a³ + b³ + 3ab (- c) = - c³

a³ + b³ - 3abc = - c³

a³ + b³ + c³ = 3abc

Hence,

a³ + b³ + c³ is equal to 3abc.