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like terms : ウィキペディア英語版
like terms
In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match.
Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power. For example, 8''xyz''2 and −5''xyz''2 are like terms because they have the same variables and power while 3''abc'' and 3''ghi'' are unlike terms because they have different variables. Since the coefficient doesn't affect likeness, all constant terms are like terms.
==Generalization==
In this discussion, a "term" will refer to a string of numbers being multiplied or divided (remember that division is simply multiplication by a reciprocal) together. Terms are within the same expression and are combined by either addition or subtraction. For example, take the expression:
ax+bx\,\!
There are two terms in this expression. Notice that the two terms have a common factor, that is, both terms have an x\,\!. This means that we can factor out that common factor variable, resulting in
(a+b)x\,\!
If the expression in parentheses may be calculated, that is, if the variables in the expression in the parentheses are known numbers, then it is simpler to write the calculation a+b\,\!. and juxtapose that new number with the remaining unknown number. Terms combined in an expression with a common, unknown factor (or multiple unknown factors) are called like terms.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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