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(n+1)^3 – ((n^3)+1) GMAT cubic binomial expansion

If n is a positive integer, which of the following could be equal to ((n+1)^3)−((n^3)+1)?

A. 7^3(6^3−1)

B. 7^3(6^3+1)

C. 2∗26∗27

D. 3∗31∗32

E. 0

You can do this step-by-step by hand, but it will be a hell of a lot easier if you have the cubic expansion for a binomal handy:

(a+b)^3 = a^3 + 3(a^2)b + 3(a)b^2 + b^3

(n+1)3−((n3)+1)(n+1)^3 – ((n^3)+1)

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Rowan

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