1.

If \[x=a+b,y=a\omega +b{{\omega }^{2}},z=a{{\omega }^{2}}+b\omega \],  then the value of \[{{x}^{3}}+{{y}^{3}}+{{z}^{3}}\] is equal to        [Roorkee 1977; IIT 1970]

A. \[{{a}^{3}}+{{b}^{3}}\]
B. \[3({{a}^{3}}+{{b}^{3}})\]
C. \[3({{a}^{2}}+{{b}^{2}})\]
D. None of these
Answer» C. \[3({{a}^{2}}+{{b}^{2}})\]


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