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Using binomial theorem, evaluate the following:

    Q8.    (101)^4

Answers (1)

As we can write 101 in the form 100+1

\Rightarrow (101)^4

=(100+1)^4

\\=^4C_0(100)^4+^4C_1(100)^3(1)+^4C_2(100)^2(1)^2+^4C_3(100)^1(1)^3+^4C_4(1)^4

=100000000+4000000+60000+400+1

=104060401

Posted by

neha

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