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Question

(a+b)×(ab)+(b+c)×(bc)+(c+a)×(ca)=

A
2(a×b+b×c+c×a)
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B
2(a×b+b×c+c×a)
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C
(a×b+b×c+c×a)
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D
(a×b+b×c+c×a)
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Solution

The correct option is B 2(a×b+b×c+c×a)
Solving
=a×b+b×ab×c+c×bc×a+a×c
=2b×a+2c×b+2a×c
=2(b×a+c×b+a×c) (a×b=b×a)
=2(a×b+b×c+c×a)

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