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Question

a×(b+c)+b×(c+a)+c×(a+b) is equal to

A
2[abc]
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B
0
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C
3
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D
None of these
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Solution

The correct option is D 0
a×(b+c)+b×(c+a)+c×(a+b)
=a×b+a×c+b×c+b×a+c×a+c×b
=a×bc×a+b×ca×b+c×ab×c=0

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