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InterviewSolution
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If a + b + c = 0, then the value of \(\frac{{{a^3}\; + \; {b^3}\; + \;{c^3}}}{{abc}}\) is:1. 12. 03. -14. 3 |
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Answer» Correct Answer - Option 4 : 3 Given: a + b + c = 0 Formula Used: If a + b + c = 0 then a3 +b3 + c3 = 3abc Calculation: Substitute the value a3 +b3 + c3 = 3abc in the given expression \(\Rightarrow \frac{{{a^3}\; + \; {b^3}\; + \;{c^3}}}{{abc}} = \frac{{3abc}}{abc}\) \(\Rightarrow \frac{{{a^3} + {b^3} + {c^3}}}{{abc}} = 3\) ∴ The correct answer is 3 |
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