Question

Write the steps which should be followed to check if two terms are like or unlike. Are X² Y and XY like terms?​

Answer 1

ⓈⓄⓁⒾⓉⓄⓃ

Steps to be followed to decide whether the given terms are like terms are like or not are as followed:

(i) Ignore the numerical coefficients.

(ii) Check the variables in the terms. They must be same otherwise they are unlike terms.

(iii) Next, check the powers of each variable in the terms. They should be the same and if they are not then they are not like terms.

We have to check if X² and XY are like terms. The variables in both these expressions are X and Y. The power of Y is equal in both the expressions. But the power of XY it is one.

Therefore, the terms are not like.

ⒽⓄⓅⒺ ⒾⓉ ⒾⓈ ⒽⒺⓁⓅⒻⓊⓁ

Answer 2

ⒽⒺⓎ

ⒽⒺⓇⒺ ⒾⓈ ⓎⓄⓊⓇ ⒶⓃⓈⓌⒺⓇ

ⓆⓊⒺⓈⓉⒾⓄⓃ:

Write the steps which should be followed to check if two terms are like or unlike. Are X² Y and XY like terms?

ⒶⓃⓈⓌⒺⓇ:--

Steps to be followed to decide whether the given terms are like or not are as followed:

(i) Ignore the numerical coefficients.

(ii) Check the variables in the terms. They must be same otherwise they are unlike terms.

(iii) Next, Check the powers of each variable in the terms. They should be the same and if they are not then they are not like terms.We have to check if X² and XY are like terms. The variables in both these expressions are X and Y.

The power of Y is equal in both the expressions. But the power of X in the terms X² Y is 2, while in the terms XY it is one.

Therefore, The terms are not like.

ⒽⓄⓅⒺ ⒾⓉ ⒽⒺⓁⓅⓈ

ⒻⓄⓁⓁⓄⓌⓃ Ⓜ️Ⓔ