Question

what is the difference of the polynomials?
$(-2x^3y^2 + 4x^2y^3 - 3xy^4) - (6x^4y - 5x^2y^3 - y^5)$
$\circ \\ -6x^4y - 2x^3y^2 + 9x^2y^3 - 3xy^4 + y^5$
$\circ \\ -6x^4y - 2x^3y^2 - x^2y^3 - 3xy^4 - y^5$
$\circ \\ -6x^4y + 3x^3y^2 + 4x^2y^3 - 3xy^4 + y^5$
$\circ \\ -6x^4y - 7x^3y^2 + 4x^2y^3 - 3xy^4 - y^5$

Explanation:

Step1: Distribute the negative sign

$(-2x^3y^2 + 4x^2y^3 - 3xy^4) - 6x^4y + 5x^2y^3 + y^5$

Step2: Rearrange like terms

$-6x^4y -2x^3y^2 + 4x^2y^3 + 5x^2y^3 -3xy^4 + y^5$

Step3: Combine like terms

$-6x^4y -2x^3y^2 + (4+5)x^2y^3 -3xy^4 + y^5$

Answer:

$-6x^4y - 2x^3y^2 + 9x^2y^3 - 3xy^4 + y^5$ (first option)