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i thought it was gonna be trinomial with a degree of 6 but i just realized im doing the difference as a sum, which is wrong, how can i search for the difference? i completely forgot, i think it might be i get the inverse of the other side, thank u!

i thought it was gonna be trinomial with a degree of 6 but i just realized im doing-example-1
User Fwyzard
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1 Answer

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Step-by-step explanation

Binomial is a polynomial with two, unlike terms while a trinomial is an algebraic expression (polynomial) with three, unlike terms.

From the question given:


a^3b+9a^2b^2-4ab^5-(a^3b-3a^2b^2+ab^5)

Simplify the above by first opening the parenthesis.


a^3b+9a^2b^2-4ab^5-a^3b+3a^2b^2-ab^5

Add/ subtract the like terms.


=11a^2b^2-5ab^5

Since, there are only 2 terms in the result, then it is a binomial.

Also, the highest exponent in the expression is the degree of the binomial.

The highest component in this case is 6, hence it is of degree 6 when the exponent of a and b are added.

Therefore, it is a binomial with degree 6.

User Bogdan Timofeev
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