like terms
Terms that contain the same variables raised to the same power (exponent).
Like terms are terms that have the same variables raised to the same power. In other words, like terms are terms that can be combined by adding or subtracting their coefficients. For example, 3x and -2x are like terms because they both have the variable x raised to the first power, while 3x^2 and -2x are not like terms because they have different powers of x.
Another example of like terms is 4y^2 and 2y^2, where both have the variable y raised to the second power. We can add these like terms by simply adding their coefficients: 4y^2 + 2y^2 = 6y^2.
On the other hand, terms such as 5xy and 7x^2y^2 are not like terms because they have different variables and different powers. Therefore, we cannot add or subtract them directly.
Identifying and combining like terms is an important skill in algebra and is often used when simplifying expressions and solving equations.
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