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