What is the difference of the polynomials?

(–2x3y2 + 4x2y3 – 3xy4) – (6x4y – 5x2y3 – y5)

Answer
9x^2 y^3-2x^3 y^2-3xy^4-6x^4 y+y^5

Explanation
The term difference in mathematics means the result after subtraction.
It is important to know that we only subtract like terms only.
(-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
-2x^3 y^2+4x^2 y^3-3xy^4-6x^4 y+5x^2 y^3+y^5
-2x^3 y^2+9x^2 y^3-3xy^4-6x^4 y+y^5
This equation cannot be simplified further. So the difference is
=9x^2 y^3-2x^3 y^2-3xy^4-6x^4 y+y^5