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Question
Evaluate: (1004)3
Sum
Solution
(1004)3 = (1000 + 4)3
= (1000)3 + (4)3 + 3 × 1000 × 4(1000 + 4) ...[∵ (a + b)3 = a3 + b3 + 3ab(a + b)]
= 1000000000 + 64 + 12000(1000 + 4)
= 1000000000 + 64 + 12000000 + 48000
= 1012048064
Hence, the value of (1004)3 is 1012048064.
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