Question

If a + b + c = 0 , then find the value of a^3 + b^3 + c^3


PLEASE HELP ME GUYS​

Answer 1

Step-by-step explanation:

See,

If a + b + c = 0

Then,

a + b + c = 0

a + b = - c -- (I)

(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

Answer 2

Answer:

a + b + c = 0 , then find the value of a^3 + b^3 + c^3

Since, a

3

+b

3

+c

3

−3abc=(a+b+c)(a

2

+b

2

+c

2

−bc−ca−ab)

Given, a+b+c=0

∴a

3

+b

3

+c

3

−3abc=0

∴a

3

+b

3

+c

3

=3abc