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Q: Why 5x2y and 3xy2 are NOT like terms?

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Like terms are terms with the same variable to the same power. Examples: 2y and 3y are like terms. 2y and 2z are not like terms 4y squared and 3y squared are like terms 4y squared and 3y are not like terms

Unlike terms.

Like terms

terms whose variables are the same.

No. For purposes of combining "like terms", you need terms that have exactly the same variables, with the same exponents (if there are any).

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The three terms are: -3xy2, 2xy and -4y3

Multiply out all brackets (parentheses). Combine "like" terms. "Like" terms are those where any algebraic letters and their powers are exactly the same, but the numbers before them (the coefficients) may be different. Thus 2x2y and 3x2y are like terms and should be combined to make 5x2y. But 2x2y and 3xy2 are not like terms since in the first it is x that is squared while in the second it is y. Similarly, x and x2 are not like terms. Also, when combining terms, remember that x2y is 1x2y.

5x2y is itself a monomial, but it can be simplified to 10xy.

if the 5x2y means 5x2y + 4x - 6 then yes it is a binomial but if the 5x2y means 5x * 2y + 4x - 6 then no it is not a binomial a nomial means one degree. a binomial means something to the second power. a polynomial means anything that has a 3rd power and greater.

That's a monomial.

monomials are just polynomials with one term, i.e. 2xy2, n3, etc. A binomial has two terms, i.e. 3xy2+2, etc.

It is: 3xy

The GCF is 3xy2

3x3y2

5x2y = 3x - 6y 5x2y + 6y = 3x y(5x2 + 6) = 3x y = (3x)/(5x2 + 6) This is a rational function.

The GCF is 3xy.

3xy2

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