Question

if a + b + C is equal to zero then evaluate a cube plus b cube + C cube

Answer 1

Step-by-step explanation:

If a+b+c = 0

then a=b=c=0

a3 + b3 + c3 = 0

Answer 2

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Given, a + b + c = 0 can be written as

→ a + b = -c   ----- (1)

Now cubing both sides, we get

→ (a+b)³ = (-c)³

→ a³ + b³ + 3ab(a+b) = -c³

→ a³ + b³ + c³ = -3ab(a+b)

→ a³ + b³ + c³ = -3ab(-c) (from (1))

→ a³ + b³ + c³ = 3abc.