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If x = 2 - p then x3 + 6xp +...

This question belongs to Arithmetic Ability Algebra
Algebra
?

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

Answer & Solution
Correct Answer: Option C
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
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