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Question

∣ ∣b+cacabbcc+abacbcaa+b∣ ∣=

A
4 abc
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B
6 abc
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C
8 abc
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D
2 abc
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Solution

The correct option is C 8 abc
Given,

∣ ∣b+cacabbcc+abacbcaa+b∣ ∣

=(b+c)c+abacaa+b(ac)bcbacba+b+(ab)bcc+acbca

=(b+c)(2ba+2ca)(ac)(2b22bc)+(ab)(2c2+2bc)

=8abc

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