The algebraic terms whose literal coefficients are not same, are called the unlike algebraic terms.
The unlikeness of two or more algebraic terms are actually determined by their literal coefficients. If the literal coefficients of two or more algebraic terms are not same, then the algebraic terms are looked dissimilar, and they are called as unlike algebraic terms. So, the property of the unlikeness is a key factor for determining the unlike algebraic terms in algebra.
$5xy$ and $6x^2y$ are two algebraic terms.
Look at the two algebraic terms, and it seems they are dissimilar. It can be confirmed mathematically by determining the literal coefficients of them and it helps us to check the property of unlikeness of them mathematically.
$5xy = 5 \times xy$ and $6x^2y = 6 \times x^2y$
$xy$ is the literal coefficient of $5$ in the first algebraic term and $x^2y$ is the literal coefficient of $6$ in the second algebraic term. The literal coefficients of them are not same. Due to this reason, the two algebraic terms are looked dissimilar and they are called as unlike algebraic terms.
Look at the following examples to understand unlike algebraic terms clearly.
$(1) \,\,\,$ $2a$, $6b$
$(2) \,\,\,$ $l^2$, $\dfrac{l^2m}{5}$, $-0.25l^2m^2$
$(3) \,\,\,$ $4m$, $4mn$, $4m^2n$, $4mn^2$
$(4) \,\,\,$ $-4p^3qr$, $10pq^2r^3$
$(5) \,\,\,$ $-x$, $x^2$, $3xy$, $6xz$, $-176xyz$
A free math education service for students to learn every math concept easily, for teachers to teach mathematics understandably and for mathematicians to share their maths researching projects.
Copyright © 2012 - 2023 Math Doubts, All Rights Reserved