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Binomial Theorem — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsBinomial Theorem5 Marks
Question
Evaluate the following:
$(0.99)^5+(1.01)^5$
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Answer

$(0.99)^5+(1.01)^5$
$=(1-.01)^5+(1+.01)^5$
$=2\big[{^5\text{C}}_1+{^5\text{C}}_3(.01)^2+{^5\text{C}}_5(.01)^5\big]$
$=2\Big[5+10\times\frac{1}{10^4}+\frac{1}{10^{10}}\Big]$
$=2\Big[5+\frac{1}{1000}+\frac{1}{10^{10}}\Big]$
$=2.0020001$

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