Answer:
11xy(121x²-y²)
Explanation:
When factorizing, you should always look for what each term has in common.
First, let's look at the coefficients (numbers) in each term: 1331 and 11. Both are divisible by 11, so let's factorize out 11:
1331x³y-11y³x
11(121x³y-y³x)
Looking at the terms in the bracket, we see they both have 'x's in common (121x³y has three x's multiplied in and y³x has one). Let's factorize out this x:
11(121x³y-y³x)
11x(121x²y-y³)
We can also see both terms in the brackets have 'y's in common (121x²y has one y and y³ has three multiplied in). Let's factorize out this y:
11x(121x²y-y³)
11xy(121x²-y²)
Since there is nothing in common left between the terms, we can say the expression is fully factorized!