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Question

Using Binomial Theorem, evaluate (101)4

Solution
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(101)4=(100+1)4
=4C0(100)4+4C1(100)3(1)+4C2(100)2(1)2+4C3(100)(1)3+4C4(1)4
=(100)4+4(100)3+6(100)2+4(100)+(1)4
=100000000+4000000+60000+400+1
=104060401

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