difference of two squares

Noun

Meaning

difference of two squares (plural differences of two squares)

(algebra) The identity




x

2


−

y

2


=
(
x
+
y
)
(
x
−
y
)



{\displaystyle x^{2}-y^{2}=(x+y)(x-y)\,}

that holds for all real numbers.
The fraction






x
−
8



x

2


−
64





{\displaystyle {\frac {x-8}{x^{2}-64}}}

can be simplified to





1

x
+
8





{\displaystyle {\frac {1}{x+8}}}

using the difference of two squares.

Close letter words and terms