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Evaluate each of the following:$(103)^3$
Given:
$(103)^3$
To do:
We have to evaluate $(103)^3$.
Solution:
We know that,
$(a+b)^3=a^3 + b^3 + 3ab(a+b)$
$(a-b)^3= a^3-b^3-3ab(a-b)$
Therefore,
$(103)^3 = (100 + 3)^3$
$= (100)^3 + (3)^3 + 3 \times 100 \times 3(100 + 3)$
$= 1000000 + 27 + 900 \times 103$
$= 1000000 + 27 + 92700$
$= 1092727$
Hence, $(103)^3 = 1092727$.
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