Answer:
7x³y³ + 4x²y² + xy² + 6x - 2
Explanation:
Polynomial heaven...
When dealing with these type of questions, it is very important to keep track of your like-terms, which are simply just terms that share the same variables attached to different coefficients. Instead of doing it all in one, let's group the like-terms, and then solve for each one, then put them altogether.
6x³y³ and -x³y³ are like-terms. Because we are subtracting those two, we are actually going to add them due to integer rules, and the final result will be 7x³y³.
5x²y² and x²y² are like-terms. Because we are subtracting those two, we will subtract them due to integer rules, and the final result will be 4x²y².
-x²y and -x²y are like-terms. Because we are subtracting those two, we are actually going to add them due to integer rules, and the final result will be "1" as they cancel.
xy² is all alone and has no other like-terms, so we will leave it just like that.
3x and -3x are like-terms. Because we are subtracting those two, we will actually add them due to integer rules, and the final result will be 6x.
2 and 4 are like-terms. Because we are subtracting those two, we will subtract them due to integer rules, and the final result will be -2.
Now we can put it altogether!