Evaluate

\[ (598)^3 \]

Solution:

Using identity:

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

\[ (598)^3 = (600-2)^3 \]

\[ = (600)^3-(2)^3-3(600)(2)(600-2) \]

\[ = 216000000-8-3600(598) \]

\[ = 216000000-8-2152800 \]

\[ = 213847192 \]

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