It is given in the question that,a2 + b2 = - aba2 + 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) × 0a3 – b3 = 0Hence, option D is correct

Q. 115.0( 4 Votes )

If <img wid A. -1

B. -3

C. -2

D. 0

Class 9th RS Aggarwal & V Aggarwal - Mathematics 2. Polynomials

Answer :

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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If <img wid A. -1B. -3C. -2D. 0

If <img wid A. -1

B. -3

C. -2

D. 0