Question

Is the sum of two monomials always a monomial?
$5xy{z}^{2} - 3zy$
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Answer 1

Answer:

yes the sum is always monomial

Step-by-step explanation:

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Answer 2

No, if the monomials are of unlike terms, then the sum of such monomials will be a binomial.
Ex: sum of x^2 & y^2 gives x^2 + y^2
which is a binomial.

If the monomials are of like terms, then the sum of such monomials will be a monomial.
Ex: sum of x^2 & 2x^2 gives x^2 + 2x^2 = 3x^2, which is a monomial.