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A binomial is a polynomial which is the sum of two [[monomial]]s. A binomial in a single indeterminate (also known as a [[univariate]] binomial) can be written in the form
:<math>a x^m  bx^n \,,</math>
where {{math''a''}} and {{math''b''}} are [[number]]s, and {{math''m''}} and {{math''n''}} are distinct [[nonnegative integer]]s and {{math''x''}} is a symbol which is called an [[indeterminate (variable)indeterminate]] or, for historical reasons, a [[variable (mathematics)variable]]. In the context of [[Laurent polynomial]]s, a ''Laurent binomial'', often simply called a ''binomial'', is similarly defined, but the exponents
More generally, a binomial may be written<ref name=Sturmfels62>{{Cite journal
==Operations on simple binomials==
*The binomial
::<math> x^2  y^2 = (x + y)(x  y). </math>
:This is a special case of the more general formula:
:
:When working over the complex numbers, this can also be extended to
::<math> x^2 + y^2 = x^2  (iy)^2 = (x  iy)(x + iy). </math>
*The product of a pair of linear binomials <math>(ax+b)</math> and <math>(cx+d)</math> is a [[trinomial]]:
