What is the difference between the polynomials? (-2x³y² + 4x²y³ - 3xy⁴) - (6x⁴y - 5x²y³ - y⁵)

Solution:

We need to subtract the polynomials and find the difference.

(-2x³y² + 4x²y³ - 3xy⁴) - (6x⁴y - 5x²y³ - y⁵)

By multiplying the signs into the brackets

= -2x³y² + 4x²y³ - 3xy⁴ - 6x⁴y + 5x²y³ + y⁵

Grouping the like terms, we get

= -2x³y² + (4x²y³ + 5x²y³) - 3xy⁴ - 6x⁴y + y⁵

By further simplification, we get

= -2x³y² + 9x²y³ - 3xy⁴ - 6x⁴y + y⁵

Therefore, the difference between the polynomials is -2x³y² + 9x²y³ - 3xy⁴ - 6x⁴y + y⁵.

What is the difference between the polynomials? (-2x³y² + 4x²y³ - 3xy⁴) - (6x⁴y - 5x²y³ - y⁵)

Summary:

The difference between the polynomials (-2x³y² + 4x²y³ - 3xy⁴) - (6x⁴y - 5x²y³ - y⁵) is -2x³y² + 9x²y³ - 3xy⁴ -

6x⁴y + y⁵.