Evaluate

\[ (103)^3 \]

Solution:

Using identity:

\[ (a+b)^3 = a^3+b^3+3ab(a+b) \]

\[ (103)^3 = (100+3)^3 \]

\[ = (100)^3+(3)^3+3(100)(3)(100+3) \]

\[ = 1000000+27+900(103) \]

\[ = 1000000+27+92700 \]

\[ = 1092727 \]

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