If (a+b+c)=0then write the value of a ^3+b^3+c^3
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Answered by
1
Answer:
Step-by-step explanation:
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’ 3ab
Answered by
3
Answer:
If (a+b+c)=0, a ^3+b^3+c^3= (a+b+c)(a^2+b^2+c^2-ab-bc-ca)
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