Use term grouping, mathematical operations, and mathematical theorem/identity property rules.
For example: 4x + 5 + x^2 - 2 - x = 1
1. Group (rearrange) similar terms together. Group all the x terms in descending exponential order and group all the decimal number from greatest value to least value as shown below. Note: You may need to use identity property rules to ensure the proper sign/s of a term/s when moving it/them from one side of an equation (i.e. terms placed on both sides of an equal (=) symbol) to the other. Similar terms are terms that look similar (they have the same base & exponent.
x^2 + 4x - x + 5 - 2 - 1 = 1 - 1
Note: - 1 was added to both sides of the equation to facilitate combining decimal numbers in step 2 (below), using the "identity property of addition" method.
2. Combine like terms using addition, subtraction, multiplication, and or division (where applicable).
x^2 + 3x + 2 = 0
Note: x^2 and 4x could not be combined because they do NOT have the same exponents.
3. Below is an example to show the application of the identity property of multiplication:
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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Answer Provided by previous responder:
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We combine terms that have the same variables.
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.
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
Combine like terms
Combine Like terms
it means to put together the terms that have the same variable. so if you had the equation: 2x+4y+5x it would simplify to 7x+4y because you would combine to the two x-variables.
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.
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.
Combine 'like' terms.
Unlike terms are terms in an equation that are different. These terms cannot be combined. Like terms, however, can be combined.
it is numbers that are alike
.___________.