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It is given in the question that,

a2 + b2 = - ab

a2 + b2 + ab = 0 (i)

We know that,

a3 – b3 = (a – b) (a2 + b2 + ab)

From (i), we have a2 + b2 + ab = 0

a3 – b3 = (a – b) × 0

a3 – b3 = 0

Hence, option D is correct

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