# Evaluate (99)3.

Concept Used:

(a – b)3 = a3 – b3 – 3ab(a – b)

Explanation:

(99)3 = (100 – 1)3

(99)3 = (100)3 – (1)3 – 3.100.1(100 – 1)

(99)3 = 1000000 – 1 – 300 × 99

(99)3 = 1000000 – 29701

(99)3 = 970299.

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