If \[a=331,\]\[b=336\]and \[c=-\,\,667,\]then the value of \[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}-\,\,3abc\]is [SSC (CPO) 2014] |
A) 1
B) 6
C) 3
D) 0
Correct Answer: D
Solution :
Here, \[a+b+c=331+336-667=0\] |
\[\therefore \]\[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}=3abc\] |
\[\Rightarrow \]\[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}-3abc=0\] |
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