Question

what is the difference of the polynomials?$(-2x^{3}y^{2}+4x^{2}y^{3}-3xy^{4})-(6x^{4}y-5x^{2}y^{3}-y^{5})LXB0-6x^{4}y - 2x^{3}y^{2}+9x^{2}y^{3}-3xy^{4}+y^{5}LXB1-6x^{4}y - 7x^{3}y^{2}+4x^{2}y^{3}-3xy^{4}-y^{5}$

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:

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