# difference of two squares

## English

### Noun

difference of two squares (plural differences 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.