Evaluate

\[ 46^3+34^3 \]

Solution:

Using identity:

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

\[ 46^3+34^3 = (46+34)(46^2-46\times34+34^2) \]

\[ = 80(2116-1564+1156) \]

\[ = 80(1708) \]

\[ =136640 \]

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