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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Updated on: 10-Oct-2022

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