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Question

Evaluate: a3+b3+c3−3abca2+b2+c2−ab−bc−ca

A
0
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B
a+b+c
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C
1
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D
None of these
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Solution

The correct option is B a+b+c
a3+b3+c33abca2+b2+c2abbcca=(a+b+c)(a2+b2+c2abbcca)(a2+b2+c2abbcca)=a+b+c.

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