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If a + b = 4 then the value of a3 + b3 + 12ab ­- 64 is:

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(a + b)3 = a3 + b3 + 3ab(a + b) ----(i)

Given that, a + b = 4, putting this value of (a + b) in eq. (i)

∴ 64 = a3 + b3 + 3ab(4)

⇒ a3 + b3 + 12ab – 64 = 0