what is the difference of the polynomials? (-2x^3y^2 + 4x^2y^3 - 3xy^4) - (6x^4y - 5x^2y^3 - y^5) -6x^4y…

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

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

Answer

Explanation:

Step1: Distribute the negative sign

[(-2x^{3}y^{2}+4x^{2}y^{3}-3xy^{4})-(6x^{4}y - 5x^{2}y^{3}-y^{5})=-2x^{3}y^{2}+4x^{2}y^{3}-3xy^{4}-6x^{4}y + 5x^{2}y^{3}+y^{5}]

Step2: Combine like - terms

Combine the (x^{2}y^{3}) terms: (4x^{2}y^{3}+5x^{2}y^{3}=9x^{2}y^{3}) The resulting polynomial is (-6x^{4}y-2x^{3}y^{2}+9x^{2}y^{3}-3xy^{4}+y^{5})

Answer:

(-6x^{4}y - 2x^{3}y^{2}+9x^{2}y^{3}-3xy^{4}+y^{5}) (corresponding to the first option)