Evaluate
\[ 104^3+96^3 \]
Solution:
Using identity:
\[ a^3+b^3=(a+b)(a^2-ab+b^2) \]
\[ 104^3+96^3 = (104+96)(104^2-104\times96+96^2) \]
\[ = 200(10816-9984+9216) \]
\[ = 200(10048) \]
\[ =2009600 \]
\[ 104^3+96^3 \]
Using identity:
\[ a^3+b^3=(a+b)(a^2-ab+b^2) \]
\[ 104^3+96^3 = (104+96)(104^2-104\times96+96^2) \]
\[ = 200(10816-9984+9216) \]
\[ = 200(10048) \]
\[ =2009600 \]