The algebraic terms whose literal coefficients are the same, are called the like algebraic terms.

The likeness of two or more algebraic terms are determined by their literal coefficients. If the literal coefficients of two or more algebraic terms are the same, then the algebraic terms are looked similar, and they are called as like algebraic terms. Therefore, the property of the likeness is a key point for determining the like algebraic terms in algebra.

$-3xy$ and $6xy$ are two algebraic terms.

Observe the two algebraic terms closely and it seems they are similar. Let’s find the literal coefficients of them to confirm the property of likeness of them mathematically.

$-3xy = -3 \times xy$ and $6xy = 6 \times xy$

$xy$ is the literal coefficient of $-3$ for the first algebraic term and $xy$ is the literal coefficient of $6$ for the second algebraic term. The literal coefficients of them are the same. Hence, the two algebraic terms are looked similar and they are called as like algebraic terms.

Observe the following examples to understand like algebraic terms much better.

$(1) \,\,\,$ $a$, $-6a$

$(2) \,\,\,$ $l^2$, $\dfrac{l^2}{5}$, $-0.25l^2$

$(3) \,\,\,$ $4mn$, $-6mn$, $7mn$, $9mn$

$(4) \,\,\,$ $p^3q^2r$, $5p^3q^2r$

$(5) \,\,\,$ $-xyz$, $6xyz$, $-10xyz$, $26xyz$, $-276xyz$

Latest Math Topics

Mar 21, 2023

Feb 25, 2023

Feb 17, 2023

Feb 10, 2023

Jan 15, 2023

Latest Math Problems

Mar 03, 2023

Mar 01, 2023

Feb 27, 2023

A best free mathematics education website for students, teachers and researchers.

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

Learn how to solve the math problems in different methods with understandable steps and worksheets on every concept for your practice.

Copyright © 2012 - 2022 Math Doubts, All Rights Reserved