Evaluate
\[ 46^3+34^3 \]
Solution:
Using identity:
\[ a^3+b^3=(a+b)(a^2-ab+b^2) \]
\[ 46^3+34^3 = (46+34)(46^2-46\times34+34^2) \]
\[ = 80(2116-1564+1156) \]
\[ = 80(1708) \]
\[ =136640 \]
\[ 46^3+34^3 \]
Using identity:
\[ a^3+b^3=(a+b)(a^2-ab+b^2) \]
\[ 46^3+34^3 = (46+34)(46^2-46\times34+34^2) \]
\[ = 80(2116-1564+1156) \]
\[ = 80(1708) \]
\[ =136640 \]