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Question
Using binomial theorem evaluate .
(iii) (101)4
Solution
\[= (100 + 1 )^4 \]
\[ =^{4}{}{C}_0 \times {100}^4 +^{4}{}{C}_1 \times {100}^3 + ^{4}{}{C}_2 \times {100}^2 + ^{4}{}{C}_3 \times {100}^1 + ^{4}{}{C}_4 \times {100}^0 \]
\[ = 100000000 + 4000000 + 60000 + 400 + 1\]
\[ = 104060401\]
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