You don't use a 'property" to combine like terms, you use an "operation". To combine like terms, use the following operations:
Addition: 4x+3x=7x
Subtraction: 4x-3x=1x=x
Multiplication/Division:
4x = 2x + y
-2x + 4x = 2x + y -2x
2x = y
1/2 * 2x = y * 1/2
x = y/2
check: x,y=(10,20)
4*10 = 2*10+20
40 = 20+20
40 = 40 = true
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You are absolutely right! I stand corrected: But if the asker wants to know, it is the distributive property of like terms which makes combing them possible as illustrated in the examples, above. Thanks.
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You can use the distributive property to combine like terms.
For example, take 3x+5x. By using the distributive property, this is the same as x(3+5). Since 3+5=8, the sum of 3x and 5x is 8x.
To add like terms, find the terms that have the same (or no) variable, and combine the coefficients of the terms. For instance, if you have a+b where a and b are real numbers, you can combine them.
Expand: 8z-4-5z Collect like terms: 3z-4
Unlike terms are terms in an equation that are different. These terms cannot be combined. Like terms, however, can be combined.
mathematics: to combine terms that are alike
8kt16=10k
to multiplya polynomial by a monomial,use the distributive property and then combine like terms.
To add like terms, find the terms that have the same (or no) variable, and combine the coefficients of the terms. For instance, if you have a+b where a and b are real numbers, you can combine them.
There is nothing that you can do when you combine like terms that you cannot do without combining them. Some procedures might be easier, though, if like terms are combined.
Expand: 8z-4-5z Collect like terms: 3z-4
yes
Add
no, combining like terms means combine the terms that are the same 15+x+6+x=28 combine like terms 21+2x=28 2x=7 x=3.5
You can combine like terms - combine the terms that have a "t" in them; separately, combine the terms that don't.
A binomial has two terms, while a trinomial has 3 terms. So both terms of the binomial will multiply each term of the trinomial (distribution property). After the multiplication you'll have 6 terms. Look for like terms, if there are, combine them.
Combine 'like' terms.
Unlike terms are terms in an equation that are different. These terms cannot be combined. Like terms, however, can be combined.
5y4