Math, asked by gayathriy133, 1 year ago

If (a+b+c)=0then write the value of a ^3+b^3+c^3

Answers

Answered by Anonymous
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 Anonymous
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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