Write in Standard Form 9xy^3-4y^4-10x^2y^2+x^3y+3x^4+2x^2y^2-9y^4

$9 x y^{3} - 4 y^{4} - 10 x^{2} y^{2} + x^{3} y + 3 x^{4} + 2 x^{2} y^{2} - 9 y^{4}$

Step 1

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

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

Step 2

Subtract $9 y^{4}$ from $- 4 y^{4}$ .

$9 x y^{3} - 13 y^{4} - 10 x^{2} y^{2} + x^{3} y + 3 x^{4} + 2 x^{2} y^{2}$

Step 3

Add $- 10 x^{2} y^{2}$ and $2 x^{2} y^{2}$ .

$9 x y^{3} - 13 y^{4} + x^{3} y + 3 x^{4} - 8 x^{2} y^{2}$

Step 4

Simplify the expression.

Move $- 13 y^{4}$ .

$9 x y^{3} + x^{3} y + 3 x^{4} - 8 x^{2} y^{2} - 13 y^{4}$

Move $9 x y^{3}$ .

$x^{3} y + 3 x^{4} - 8 x^{2} y^{2} + 9 x y^{3} - 13 y^{4}$

Reorder $x^{3} y$ and $3 x^{4}$ .

$3 x^{4} + x^{3} y - 8 x^{2} y^{2} + 9 x y^{3} - 13 y^{4}$