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Binomial Expression

Using binomia...

Question

Using binomial theorem ,evaluate ${(102)}^{3}$

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Solution

$(102)^{3} = (100 + 2)^{3}$
$=^{3} C_{0} (100)^{3} \cdot 2^{0} +^{3} C_{1} (100)^{2} \cdot 2^{1} +^{3} C_{2} (100)^{1} \cdot 2^{2} +^{3} C_{3} (100)^{0} \cdot 2^{3}$
$= 1000000 + 60000 + 1200 + 8$
$= 1061208$

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