# Expansión binomial

This page is a translated version of the page Dictionary:Binomial expansion and the translation is 100% complete.

Other languages:
English • ‎español

(bī, nōm’ ē ∂l)

Si ${\displaystyle \left|y\right|<\left|x\right|}$,

${\displaystyle (x\;\pm \;y)^{n}=x^{n}\;\pm \;{\frac {n}{1!}}x^{n-1}y\;+\;{\frac {n(n-1)}{2!}}x^{n-2}y^{2}\;\pm \;{\frac {n(n-1)(n-2)}{3!}}x^{n-3}{y^{3}}\;+\;\dots \;\pm \;(-1)^{n}y^{n}}$.