Question

If a+b+c=0 then find a³+b³+c³​

Answer 1

Answer:

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

Step-by-step explanation:

ATQ ,

If a + b + c = 0

Then ,

a + b + c = 0

a + b = - c ......... ( 1 )

( a + b )^3 = ( - c)^3

a^3 + b^3 + 3ab (a + b) = - c^3

from equation ( 1 ) 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 to 0'

but ,

a^3 + b^3 + c^3 'is equal to 3abc'

If you want to proove that you can also write hence prooved