हिंदी

Evaluate: (1004)3 - Algebra

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प्रश्न

Evaluate: (1004)3

योग

उत्तर

(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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