Question

What is a binomial expression?

Answer 1

Hint: Binomial is a polynomial with only two terms in it. The expression formed by monomials, binomials, or polynomials is called algebraic expression. In Maths, you'll come across a number of topics related to this concept. Here we learn its definition, examples, formulas, binomial expansion, and operations performed and so on.

Complete step by step solution:
The algebraic expression that contains only two terms is called binomial. It's a two-term polynomial. It is also called the sum or difference between two or more monomials. It's the simplest form of a polynomial.
When expressed as a single indeterminate, the binomial can be written as:
$$a{x}^m+b{y}^n$$ Where a,b are numbers and m and n are non-negative integers.
Binomial Theorem is a method of expanding an expression that has been raised to any finite power. Binomial Theorem is an effective expansion tool that has an application in algebra, probability, etc.

Note: A number of operations can be applied to a binomial expression such as, addition, multiplication and subtraction. When multiplying two binomial expressions we use the distributive law of multiplication, wherein, we multiply each term of the first factor with each term of the second factor.