1.

If \[{{\mathbf{a}}^{\mathbf{6}}}=\text{ }{{\mathbf{b}}^{\mathbf{6}}}+{{\mathbf{c}}^{\mathbf{6}}}\], then the value of \[\mathbf{lo}{{\mathbf{g}}_{\mathbf{c}}}({{\mathbf{a}}^{\mathbf{2}}}-{{\mathbf{b}}^{\mathbf{2}}})+\mathbf{lo}{{\mathbf{g}}_{\mathbf{c}}}({{\mathbf{a}}^{\mathbf{2}}}+{{\mathbf{b}}^{\mathbf{2}}}+\mathbf{ab})\]\[+\text{ }\mathbf{lo}{{\mathbf{g}}_{\mathbf{c}}}\left( {{\mathbf{a}}^{\mathbf{2}}}+{{\mathbf{b}}^{\mathbf{2}}}+\mathbf{ab} \right)\] is equal to ________

A. 1                                                         
B. 3           
C. 6           
D. 0
E. None of these
Answer» D. 0


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