To learn about the terms of an algebraic expression let us recall the definition of algebraic expression.

We know an algebraic expression is a collection or combination of constant and variables of one or more terms, which are separated by the fundamental operations (+, –, × and ÷).

Some of the examples of algebraic expression are 7b + 5m, 5x + 3y + 10, 5x/y + 3, x + y + z, etc.

Terms of an algebraic expression:

Each part of an algebraic expression which are separated by plus sign (+) or minus sign (-) is called the term of an algebraic expression.

It’s important to remember that the division sign (÷) or multiplication sign (×) does not separate the terms of an algebraic expression.

Examples
of algebraic expressions and their terms:

(i) x + 10

We observe that the number of terms used in the expression x + 10 is 2. The terms are x and 10.

(ii) 5m + 2n - 7

We observe that the number of terms used in the expression 5m + 2n – 7 is 3. The terms are 5m, 2n and 7.

(iii) 3a/b

We observe that the number of term used in the expression 3a/b is 1. The term is 3a/b.

(iv) 3xy + 7xz + 2yz - 6

We observe that the number of terms used in the expression 3xy + 7xz + 2yz - 6 is 4. The terms are 3xy, 7xz, 2yz and 6.

(v) 2abc + 1

We observe that the number of terms used in the expression 2abc + 1 is 2. The terms are 2abc and 1.

Therefore, the algebraic expressions are either simple or compound.

(i)** Simple algebraic
expressions** consist of one term.

(ii) **Compound
algebraic expressions** consist of two or more terms.

Constant term of an algebraic expression:

A term of an algebraic expression which has a fixed numerical value in all situations and does not have any variable is called the constant term of an algebraic expression.

For examples, in the algebraic expression 5x + 2y + xy + 10, 10 is the constant term of the expression.

**● ****Terms of an Algebraic Expression**

Types of Algebraic Expressions

Multiplication of Two Monomials

Multiplication of Polynomial by Monomial

Multiplication of two Binomials

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Worksheet on Types of Algebraic Expressions

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