Are And 10 Like Terms: Simplifying Algebraic Expressions

TÓM TẮT

An Intro To Like Terms | What Are Like Terms In Algebraic Expressions? | Math With Mr. J

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What Are 5 Examples Of Like Terms?

In mathematics, like terms are terms that share common variables and their corresponding exponents. Let’s explore five examples of like terms to gain a better understanding of this concept:

In the realm of variables represented by ‘x’, we have terms such as ‘x’, ‘4x’, ‘-2x’, and ‘7x.’ These are considered like terms because they all involve the same variable, ‘x.’
Similarly, when we delve into the world of ‘y’ raised to the second power (‘y^2’), we encounter terms like ‘8y^2,’ ‘y^2,’ and ‘-2y^2.’ These too are considered like terms as they all incorporate the variable ‘y’ with an exponent of two.

In summary, like terms in mathematics are those that share identical variables and their respective exponents, facilitating algebraic simplification and manipulation.

Are 4X And 5Xy Like Terms?

Are the expressions 4x and 5xy considered like terms? Yes, they are like terms because they both share the common variable ‘x’ in their expressions. This similarity in variables makes them like terms, allowing for easier algebraic manipulation and simplification. This clarification was made on January 15, 2022.

Are 4X And 2X Like Terms?

In algebra, it’s important to distinguish between like terms and unlike terms. Like terms are terms that have the same variable(s) raised to the same power(s), while unlike terms differ in either the variables they contain or the powers to which those variables are raised.

For example, consider 2x and 4x. These are like terms because they both contain the variable x raised to the power of 1 (implied), and when you add them together, you can combine them to give 6x. This means that you can simply add the coefficients (2 and 4) while keeping the variable (x) unchanged.

On the other hand, in algebra, 2x and 4y are NOT like terms. This is because they have different variables (x and y), and when they are added, the result is 2x + 4y. In this case, you cannot combine the terms further because they involve different variables, so you must leave the result as is.

To summarize, in algebra, like terms share the same variables and powers, allowing you to combine them by adding or subtracting their coefficients. Unlike terms, on the other hand, involve different variables or different powers and cannot be combined in this straightforward manner.