Are Xy And Yx Like Terms? Exploring Algebraic Expressions

## An Intro To Combining Like Terms | Simplifying Expressions By Combining Like Terms | Math With Mr. J

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## Are 2X And 3Y Like Terms?

Are 2x and 3y considered like terms? The answer is no; we cannot perform addition or subtraction operations between unlike terms such as 2x and 3y. This principle holds true in algebra and mathematics because like terms are characterized by having the same variable(s) raised to the same exponent(s). Attempting to combine dissimilar terms like 2x and 3y would be mathematically incorrect and is not a valid operation. This understanding is essential when simplifying expressions or solving equations in algebra. The date of this explanation is May 29, 2023.

## How Can You Tell If Two Terms Are Like?

To determine if two terms are alike, we focus on the variables they contain, not the constants. For example, let’s consider the terms 7XY and 15X. These terms are alike because they both have the same variables, which are X and Y. The coefficients (7 and 15) are constants and do not affect whether the terms are like or unlike. So, when comparing terms, pay attention to the variables they involve, and disregard the numerical coefficients. This understanding helps us differentiate between like and unlike terms in algebraic expressions.

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Are XY and YX like terms? For XY and YX, the powers are the same i.e. 1. So, XY can be written as YX and vice versa. So, **XY and YX can be classified as like terms**.Answer: **We can not add or subtract unlike terms** such as 2x and 3y.3. The terms x^{2}y and xy^{2} are not like terms, since **they have different variable parts**.

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