Evaluate
\[ 93^3-107^3 \]
Solution:
Using identity:
\[ a^3-b^3=(a-b)(a^2+ab+b^2) \]
\[ 93^3-107^3 = (93-107)(93^2+93\times107+107^2) \]
\[ = (-14)(8649+9951+11449) \]
\[ = (-14)(30049) \]
\[ =-420686 \]
\[ 93^3-107^3 \]
Using identity:
\[ a^3-b^3=(a-b)(a^2+ab+b^2) \]
\[ 93^3-107^3 = (93-107)(93^2+93\times107+107^2) \]
\[ = (-14)(8649+9951+11449) \]
\[ = (-14)(30049) \]
\[ =-420686 \]