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Find cube of 99 using the expansion formula. -

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Question

Find the cube of 99 using the expansion formula.

Sum

Solution

(99)3
= (100 - 1)3

= (100)3 - 3 × (100)2 × 1 + 3 × 100 × (1)2 - 13

= 1000000 - 30000 + 300 - 1

= 9,70,299

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