Answer:
The difference is a binomial with a degree of 6
Step-by-step explanation:
Given:
a^3b + 9a^2b^2 − 4ab^5 and a^3b − 3a^2b^2 + ab^5
Let A = a^3b + 9a^2b^2 - 4ab^5
B= a^3b - 3a^2b^2+ab^5
The difference between A and B is
A - B = a^3b + 9a^2b^2 - 4ab^5 - (a^3b - 3a^2b^2 + ab^5)
Open parenthesis
A - B= a^3b + 9a^2b^2 - 4ab^5 - a^3b + 3a^2b^2 - ab^5
= a^3b - a^3b + 9a^2b^2 + 3a^2b^2 - 4ab^5 - ab^5
= 12a^2b^2 - 5ab^5
The fist term 12a^2b^2 has 2+2=4 as a degree
The second term 5ab^5 has 1 +5 =6 as a degree
Therefore,
the answer is: The difference is a binomial with a degree of 6
