What is the difference of the polynomials? (–2x3y2 + 4x2y3 – 3xy4) – (6x4y – 5x2y3 – y5) –6x4y – 2x3y2 + 9x2y3 – 3xy4 + y5 –6x4y – 2x3y2 – x2y3 – 3xy4 – y5 –6x4y + 3x3y2 + 4x2y3 – 3xy4 + y5 –6x4y – 7x3y2 + 4x2y3 – 3xy4 – y5

For this case we have the following subtraction of polynomials:

Grouping similar terms, we have:

Rewriting the polynomial we have:

Finally, rearranging terms we have:

the difference of the polynomials is:

 First option is correct.

Step-by-step explanation:

Since we have given that

1) Open a bracket with the sign changed to the second expression within the brackets:

2) Gather the like terms together:

Hence, First option is correct.