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The expression above has three sets of like terms (9x & -2x; 4xy2 & -2xy2; 4 & -3). Like terms have two things in common: 1) they have the same variables & 2) they have the same exponents. Here is another example…
Notice in the expression above that 3x2y and -2x2y are like terms but 7xy2 is left out. Do you recognize why? The terms 3x2y and -2x2y have the variable x to the 2nd power; on the other hand, 7xy2 has the variable y to the 2nd power.
Now that you know what like terms are, let's take a look at how to collect/combine like
terms. Watch the video below which puts everything we've done so far
together. In addition, the video will explain how we collect/combine
like terms.