Write in Standard Form -5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5

$- 5 x^{3} y^{3} + 8 x^{4} y^{2} - x y^{5} - 2 x^{2} y^{4} + 8 x^{6} + 3 x^{2} y^{4} - 6 x y^{5}$

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Subtract $6 x y^{5}$ from $- x y^{5}$ .

$- 5 x^{3} y^{3} + 8 x^{4} y^{2} - 2 x^{2} y^{4} + 8 x^{6} + 3 x^{2} y^{4} - 7 x y^{5}$

Add $- 2 x^{2} y^{4}$ and $3 x^{2} y^{4}$ .

$- 5 x^{3} y^{3} + 8 x^{4} y^{2} + 8 x^{6} + 1 x^{2} y^{4} - 7 x y^{5}$

Simplify the expression.

Multiply $x^{2}$ by $1$ .

$- 5 x^{3} y^{3} + 8 x^{4} y^{2} + 8 x^{6} + x^{2} y^{4} - 7 x y^{5}$

Move $8 x^{6}$ .

$- 5 x^{3} y^{3} + 8 x^{4} y^{2} + x^{2} y^{4} - 7 x y^{5} + 8 x^{6}$

Move $8 x^{4} y^{2}$ .

$- 5 x^{3} y^{3} + x^{2} y^{4} - 7 x y^{5} + 8 x^{4} y^{2} + 8 x^{6}$

Move $- 5 x^{3} y^{3}$ .

$x^{2} y^{4} - 7 x y^{5} - 5 x^{3} y^{3} + 8 x^{4} y^{2} + 8 x^{6}$

Reorder $x^{2} y^{4}$ and $- 7 x y^{5}$ .

$- 7 x y^{5} + x^{2} y^{4} - 5 x^{3} y^{3} + 8 x^{4} y^{2} + 8 x^{6}$