If a + b = 8 and a + a2b +...

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If a + b = 8 and a + a²b + b + ab² = 128 then the positive value of a³ + b³ is:

A. 96

B. 224

C. 344

D. 152

Answer: Option D

Solution (By Examveda Team)

a + b = 8
a + a²b + b + ab² = 128
(a + b) + ab(a + b) = 128
(1 + ab)(a + b) = 128
1 + ab = 16
ab = 15
a³ + b³
= (a + b)³ - 3ab(a + b)
= 512 - 3 × 15 × 8
= 512 - 360
= 152

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If a + b = 8 and a + a2b +...

If a + b = 8 and a + a2b + b + ab2 = 128 then the positive value of a3 + b3 is:

Solution (By Examveda Team)

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If a + b = 8 and a + a²b + b + ab² = 128 then the positive value of a³ + b³ is: