# difference of two squares

1. (algebra) The identity ${\displaystyle x^{2}-y^{2}=(x+y)(x-y)\,}$ that holds for all real numbers.
The fraction ${\displaystyle {\frac {x-8}{x^{2}-64}}}$ can be simplified to ${\displaystyle {\frac {1}{x+8}}}$ using the difference of two squares.