Evaluate

\[ (98)^3 \]

Solution:

Using identity:

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

\[ (98)^3 = (100-2)^3 \]

\[ = (100)^3-(2)^3-3(100)(2)(100-2) \]

\[ = 1000000-8-600(98) \]

\[ = 1000000-8-58800 \]

\[ = 941192 \]