Evaluate

\[ 111^3-89^3 \]

Solution:

Using identity:

\[ a^3-b^3=(a-b)(a^2+ab+b^2) \]

\[ 111^3-89^3 = (111-89)(111^2+111\times89+89^2) \]

\[ = 22(12321+9879+7921) \]

\[ = 22(30121) \]

\[ =662662 \]

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