Like terms are terms that contain the same variables raised to the same power. Only the numerical coefficients are different. Terms obey the associative property of multiplication - that is, xy and yx are like terms, as are xy2 and y2x. The expressions on the right have had their like terms combined.
Also, what is a like term?
Like terms are terms that contain the same variables raised to the same power. Only the numerical coefficients are different. In an expression, only like terms can be combined. We combine like terms to shorten and simplify algebraic expressions, so we can work with them more easily.
What is a like term in an equation?
A term is a constant or a variable in an expression. In the equation 12+3x+2x2=5x-1, the terms on the left are 12, 3x and 2x2, while the terms on the right are 5x, and -1. Combining Like Terms is a process used to simplify an expression or an equation using addition and subtraction of the coefficients of terms.
Do like terms have to have the same exponent?
You cannot combine the x2 and 2x, because the first term has an exponent (2) and the second one does not have an exponent; therefore, you cannot add them together! When combining like terms, you must make sure than all the variables, and exponents, are the same before you add them together.
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