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Question

Choose the correct answer from the alternatives given.
Value of the expression
(ab)2(bc)(ca)+(bc)2(ab)(ca)+(ca)2(ab)(bc) is.

A
0
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B
3
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C
13
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D
2
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Solution

The correct option is C 3
(ab)2(bc)(ca)+(bc)2(ab)(ca)+(ca)2(ab)(bc)
(ab)3+(bc)3+(ca)3(ab)(bc)(ca)
Since.(ab)+(bc)+(ca)=ab+bc+ca=0
(ab)3+(bc)3+(ca)3 =3(ab)(bc)(ca)]
Hence, 3(ab)(bc)(ca)(ab)(bc)(ca)=3

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