We have to calculate the difference of the given polynomials, we follows as:
[tex] (-2x^{3}y^{2}+4x^{2}y^{3}-3xy^{4})-(6x^{4}y-5x^{2}y^{3}-y^{5}) [/tex]
After opening the brackets, the signs of all the terms changes as there is negative sign before the bracket.
=[tex] (-2x^{3}y^{2}+4x^{2}y^{3}-3xy^{4})-6x^{4}y+5x^{2}y^{3}+y^{5}) [/tex]
Combining all the like terms, we get as
=[tex] (-2x^{3}y^{2})+(4x^{2}y^{3}+5x^{2}y^{3})-3xy^{4}-6x^{4}y+y^{5} [/tex]
=[tex] -2x^{3}y^{2}+9x^{2}y^{3}-3xy^{4}-6x^{4}y+y^{5} [/tex]
Option A is the correct answer.
