Answer :
The difference of the given polynomials is - 6x⁴y - 2x³y² + 9x²y³ - 3xy⁴ + y⁵.
The given polynomials
(-2x³y² + 4x²y³ - 3xy⁴) - (6x⁴y - 5x²y³ - y⁵)
The difference in the given polynomials
The difference in the given polynomials is calculated as follows;
(-2x³y² + 4x²y³ - 3xy⁴) - (6x⁴y - 5x²y³ - y⁵)
open the brackets;
-2x³y² + 4x²y³ - 3xy⁴ - 6x⁴y + 5x²y³ + y⁵
add similar terms together;
- 6x⁴y - 2x³y² + 9x²y³ - 3xy⁴ + y⁵
Thus, the difference of the given polynomials is - 6x⁴y - 2x³y² + 9x²y³ - 3xy⁴ + y⁵.
Learn more about difference between polynomials here: https://brainly.com/question/2833285