An expression that contains two algebraic terms is called a Binomial.

The meaning of binomial according to English language is an expression containing two terms.

In mathematics, two algebraic terms are enough to represent some quantities but the two terms should be algebraic terms. The terms are connected in the combination of addition or subtraction form to form algebraic expressions and they are called binomials.

There are two possible cases for forming binomials in algebra. Actually, algebraic terms are connected by either plus $(+)$ or minus $(-)$ or both symbols to form binomials in mathematics

01

An algebraic term and a number are connected in various possible combinations to form a binomial mathematically.

$(1) \,\,\,\,\,\,$ $2b+5$

$(2) \,\,\,\,\,\,$ $x-7$

$(3) \,\,\,\,\,\,$ $-\dfrac{3}{2}+0.75xy^2$

$(4) \,\,\,\,\,\,$ $-pqr-8$

$(5) \,\,\,\,\,\,$ $r^3+7\sqrt{6}$

02

Two algebraic terms are connected in different possible combinations to form a binomial in algebraic mathematics.

$(1) \,\,\,\,\,\,$ $a+b$

$(2) \,\,\,\,\,\,$ $x-2y$

$(3) \,\,\,\,\,\,$ $-\dfrac{p}{7}-\sqrt{3}pq^2r^3$

$(4) \,\,\,\,\,\,$ $-0.8m+m^2n^2$

$(5) \,\,\,\,\,\,$ $ut+\dfrac{1}{2}gt^2$

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