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Combining Like Terms
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Concept

Like Terms

Two or more terms in an algebraic expression are like terms if they have the same variable(s) with the same exponent(s).
In this expression, there are three sets of like terms, namely, xy-terms, x-terms, and x2-terms.

Note that all constants are like terms. Like terms in an expression can be combined — added or subtracted — to rewrite the expression in the simplest form.

Combining Like Terms

To combine like terms, first, rearrange the expression so that the like terms are grouped together.
Grouping Like Terms
Then, like terms can be combined by adding or subtracting the coefficients of the variables as well as adding or subtracting the constants.
Combining Like Terms
Now that all like terms have been combined, the initial expression, 7xy+2x3xy2x2+x+5x2, has been reduced to its simplest form, 4xy+3x+3x2.
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