Julian fully simplifies this polynomial and then writes it in standard form.4x2y2 – 2y4 – 8xy3 + 9x3y + 6y4 – 2xy3 – 3x4 + x2y2

4x^2y^2 - 2y^4 - 8xy^3 + 9x^3y + 6y^4 - 2xy^3 - 3x^4 + x^2y^2 =

lets combine like terms...
-3x^4no other like terms
6y^4 - 2y^4 = 4y^4
4x^2y^2 + x^2y^2 = 5x^2y^2
-8xy^3 - 2xy^3 = -10xy^3
9x^3y...no other like terms

standard form : -3x^4 + 9x^3y + 5x^2y^2 - 10xy^3 + 4y^4