Question

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!

Answer 1

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.