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Question

Evaluate the following using suitable identities.
(1001)3

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Solution

(1001)3=(1000+1)3
Suitable identities is (x+y)3=x3+3x2y+3xy2+y3
(1000+1)3
=(1000)3+3(1000)2(1)+3(1000)(1)2+(1)3
=1000000000+3000000+3000+1=1003003001

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