Using Binomial Theorem, evaluate $(101)^{4}$

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Using Binomial Theorem, evaluate

(101)^{4}

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Text solutionVerified

(101)^{4} = (100 + 1)^{4}

=^{4} C_{0} (100)^{4} +^{4} C_{1} (100)^{3} (1) +^{4} C_{2} (100)^{2} (1)^{2} +^{4} C_{3} (100) (1)^{3} +^{4} C_{4} (1)^{4}

= (100)^{4} + 4 (100)^{3} + 6 (100)^{2} + 4 (100) + (1)^{4}

= 100000000 + 4000000 + 60000 + 400 + 1

= 104060401

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Question Text	Using Binomial Theorem, evaluate $(101)^{4}$
Answer Type	Text solution:1
Upvotes	152