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Examveda

If x = 2 - p, then x3 + 6xp + p3 is equal to:

A. 12

B. 6

C. 8

D. 4

Answer: Option C

Solution(By Examveda Team)

x = 2 - p
x + p = 2
Cube both side
(x + p)3 = 23
x3 + p3 + 3xp(x + p) = 8
x3 + p3 + 2xp × 2 = 8
x3 + 6xp + p3 = 8

This Question Belongs to Arithmetic Ability >> Algebra

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