Using binomial theorem find the value of $(102)^{3}$ .

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Solution

Now,
$(102)^{3}$
$= (100 + 2)^{3}$
$= (100)^{3} + {3.100}^{2} .2 + {3.100.2}^{2} + 2^{3}$
$= 1000, 000 + 60, 000 + 1, 200 + 8$
$= 1061, 208$ .

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