Question

If (a+b+c)=0 then write the equivalent of a³+b³+c³

Answer 1

the answer is 3abc

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Answer 2

Answer:

Given:

a + b + c = 0

+ b + c = 0

a + b = - c

Cube on both sides,

(a + b)³ = (-c)³

= a³ + b³ + 3ab(a + b) = -c³ [ a + b = -c]

= a³ + b³ + 3ab(-c) = -c³

= a³ + b³ - 3abc = -c³

= a³ + b³ + c³ = 3abc