Dictionary:Binomial expansion

{{#category_index:B|binomial expansion}} (bī, nōm’ ē ∂l)

If $\left|y\right|<\left|x\right|$,

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

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