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Question

If ab+ba=1, then the value of a3+b3 is

A
1
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B
0
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C
-1
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D
2
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Solution

The correct option is B 0
ab+ba=1

a2+b2ab=1

a2+b2=ab ----- ( 1 )

a3+b3=(a+b)(a2+b2ab)

=(a+b)(abab) [ From ( 1 ) ]

=(a+b)(0)

=0

a3+b3=0

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