If a = 500, b = 502, and c = 504, then the value of a3 + b3 + c3 - 3abc is?
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Correct answer: C
Explanation
The correct answer is Option 3 i.e. 18072
Given, a = 500, b = 502 and c = 504
Using : a3 + b3 + c3 - 3abc = 1/2(a + b + c)[(a - b)2 + (b - c)2 + (c - a)2]
a3 + b3 + c3 - 3abc = 1/2(500 + 502 + 504)[(2)2 + (2)2 + (4)2]
= 1/2(1506)[4 + 4 + 16] = 1506 × 12 = 18072