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Question

If ab+ba=1, then a3+b3=


A

1

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B

-1

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C

12

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D

0

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Solution

The correct option is D

0


ab+ba=1 a2+b2ab=1 a2+b2=ab a2+b2+ab=0 a2+ab+b2=0Now ,a3b3=(ab)(a2+ab+b2)=(ab)×0


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