Which is true about the completely simplified difference of the polynomials a3b + 9a2b2 − 4ab5 and a3b − 3a2b2 + ab5? the difference is a binomial with a degree of 5.
the difference is a binomial with a degree of 6.
the difference is a trinomial with a degree of 5.
the difference is a trinomial with a degree of 6.

The correct answer is B) The difference is a binomial with a degree of 6

You can find this by first looking for the difference.

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

When we simplify the like terms we get

12a^2b^2 - 5ab^4

Since there are only two terms we know it is a binomial. Also, the term with the most variables is the second with 1 a and 4 b's. This is a total of 5, which means it is a 5th degree polynomial.

B

Step-by-step explanation:

The difference is a binomial with a degree of 6.

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175