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Since adding or subtracting unlike terms is like mixing apples and oranges -- only like terms can be combined. To combine like terms, add the coefficients and multiply the sum by the common variables.
Combining like terms review. A common technique for simplifying algebraic expressions. When combining like terms, such as 2x and 3x, we add their coefficients. For example, 2x + 3x = (2+3)x = 5x.
This means that the 15, 10, 6, and -2 are all one set of like terms, and the other is 4x, -3x, 5x, and 3x. To combine them is pretty easy, you just add them together and make sure that they are all on the same side of the equation.
In order to solve equations or simplify expressions, you may need to combine “like terms”. ... This expression looks a bit confusing, but we can combine common terms to make it much simpler. To be a common term, the term must have the same variable and the same exponents.
In more technical speak, like terms have the same variables and the same exponents. Like terms are two things that can added. “Like Terms” means that you can add or subtract two terms. For instance, you know that you can add 2+3 and get 5.
Combine terms with the same variable and the same exponent Remember that when you combine like terms, you combine the terms with the exact same variable by adding them or subtracting them, depending on the operation they have attached to them. Terms with exponents work exactly the same way!
Only the coefficients of like terms are different. Since adding or subtracting unlike terms is like mixing apples and oranges -- only like terms can be combined. To combine like terms, add the coefficients and multiply the sum by the common variables.
To be a common term, the term must have the same variable and the same exponents. When you combine like terms, be sure to use the + or — that is in front of the coefficient, or number in before the letter. So in this case, we will add the 3, 5 and 9 that is in front of the x terms.
Suggested clip Solve Equations-Variables both sides-Combine like terms — YouTubeYouTubeStart of suggested client of suggested clip Solve Equations-Variables both sides-Combine like terms — YouTube
Whether you add or subtract variables, you follow the same rule, even though they have different operations: when adding or subtracting terms that have exactly the same variables, you either add or subtract the coefficients, and let the result stand with the variable. For example: Addition.
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