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Find the value of a 3 + b 3 + c 3 - 3abc when a = 225, b = 226 , c = 227

Correct Answer: 2034

Explanation:

We know that,
a3 + b3 + c3 - 3abc
= (a + b + c) 1/2 [(a - b) 2 + (b - c) 2 + (c - a) 2]
= (225 + 226 + 227) 1/2 [1 + 1 + 4]
= 678 x 3 = 2034


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