If a+b+c=0, find the value of a3+b3+c3/abc
Solution
Correct Answer: Option A
∵ a + b + c = 0
∴ a + b = - c ........... (1)
∴ ( a + b )³ = (-c)³
∴ a³ + b³ + 3ab(a+b) = - c³
∴ a³ + b³ + 3ab( - c ) = - c³ ...... from (1)
∴ a³ + b³ + c³ = 3abc
∴ ( a³ + b³ + c³ ) ÷ ( abc ) = 3 ....... Ans.
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