Azylcailee
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Are 5yx³ and –5yx³ like-terms? Are they similar terms? Please explain why.
Like-Terms
- Thread starter Azylcailee
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topsquark
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There is no room for opinion here. Both terms are rigorously defined.
"Like terms" have the same variables to the same powers. You can only add like terms. So they are like terms: y to the 1st power and x to the 3rd in both terms.
"Similar terms" differ only are different only in their coefficients. You can only add similar terms. Both are [imath]yx^3[/imath] so these are similar terms.
As there is no difference between like and similar terms they both mean the same thing. Thus the two terms are both like and similar.
-Dan
"Like terms" have the same variables to the same powers. You can only add like terms. So they are like terms: y to the 1st power and x to the 3rd in both terms.
"Similar terms" differ only are different only in their coefficients. You can only add similar terms. Both are [imath]yx^3[/imath] so these are similar terms.
As there is no difference between like and similar terms they both mean the same thing. Thus the two terms are both like and similar.
-Dan
Dr.Peterson
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Were you given distinct definitions for the two words? Sources I find agree with me that they are synonyms, for example here.
Is the question you are asking an exercise you were given, word for word, or your own personal question? Any context you can give will help us understand why you are asking. But ultimately what @topsquark says is the answer.
Steven G
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The way I explain like terms is as follows: Ignore the coefficient and if what is left over is the same, then the terms are like-terms.
In 5yx³ and –5yx³ we remove the 5 and the -5 leaving us with yx³ and yx³. Since yx³ and yx³ are the same then the original terms are like. Note that for example x³y and yx³ are the same.
In 5yx³ and –5yx³ we remove the 5 and the -5 leaving us with yx³ and yx³. Since yx³ and yx³ are the same then the original terms are like. Note that for example x³y and yx³ are the same.
JasonTurner
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Hello,
Like terms and similar terms are the same thing in mathematics. Like terms are ones that have the same variables and exponent power. These variables' coefficients might be different. Algebraic-like words are terms that have a lot in common. These similar terms in the algebraic equation can be combined to simplify the expression and provide a quick result.
In this phrase, similar words are terms that may be classified together because they have the same set of unknown variables. The sets of unknown factors are listed here. All words with the same set of unknown factors, that is, all similar terms, may be merged using the formula in the first example by adding or removing their coefficients while keeping the unknown factors. As a result, the phrase becomes
When all like terms have been integrated and all terms present are unlike, the expression is called simplified. In this scenario, all terms now have separate unknown factors and so are unlike, resulting in a totally simplified statement.
Unlike Terms: Unlike terms are those that have the same variable with different exponents or different variables with the same exponents.
Like terms and similar terms are the same thing in mathematics. Like terms are ones that have the same variables and exponent power. These variables' coefficients might be different. Algebraic-like words are terms that have a lot in common. These similar terms in the algebraic equation can be combined to simplify the expression and provide a quick result.
In this phrase, similar words are terms that may be classified together because they have the same set of unknown variables. The sets of unknown factors are listed here. All words with the same set of unknown factors, that is, all similar terms, may be merged using the formula in the first example by adding or removing their coefficients while keeping the unknown factors. As a result, the phrase becomes
When all like terms have been integrated and all terms present are unlike, the expression is called simplified. In this scenario, all terms now have separate unknown factors and so are unlike, resulting in a totally simplified statement.
Unlike Terms: Unlike terms are those that have the same variable with different exponents or different variables with the same exponents.