In any triangle ABC, the value of \[a({{b}^{2}}+{{c}^{2}})\cos A+b({{c}^{2}}+{{a}^{2}})\cos B+c({{a}^{2}}+{{b}^{2}})\cos C\]is [MP PET 1994]

In any triangle ABC, the value of \[a({{b}^{2}}+{{c}^{2}})\cos A+b({{c

1.	In any triangle ABC, the value of \[a({{b}^{2}}+{{c}^{2}})\cos A+b({{c}^{2}}+{{a}^{2}})\cos B+c({{a}^{2}}+{{b}^{2}})\cos C\]is [MP PET 1994]
A.	\[3ab{{c}^{2}}\]
B.	\[3{{a}^{2}}bc\]
C.	\[3abc\]
D.	\[3a{{b}^{2}}c\]
Answer» D. \[3a{{b}^{2}}c\]

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In any triangle ABC, the value of \[a({{b}^{2}}+{{c}^{2}})\cos A+b({{c}^{2}}+{{a}^{2}})\cos B+c({{a}^{2}}+{{b}^{2}})\cos C\]is [MP PET 1994]

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