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If `(a)/(b)+(b)/(a)=1` then `(a^3-b^3)=?`

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If `(a)/(b)+(b)/(a)=1` then `(a^3-b^3)=?`
A. `-3`
B. `-2`
C. `-1`
D. `0`
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1 Answer

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Correct Answer - D
`(a)/(b)+(b)/(a)=-1rArr a^2+b^2+ab=0`
`rArr (a-b)(a^2-b^2+ab)=0rArr a^3-b^3=0`.
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