Subject
Quantitative Aptitude
Topic
Solution
If a+b+c=0, find the value of a3+b3+c3/abc
If a+b+c=0, find the value of a3+b3+c3/abc
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2Explanation
∵ 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.Related questions
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