Binomial

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

Introduction

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.

Examples

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

Combination of a Term and Number

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

Examples

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

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

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

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

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

02

Terms

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

Examples

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

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

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

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

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



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