Question

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 9xy3 â€"" 4y4 â€"" 10x2y2 x3y 3x4 2x2y2 â€"" 9y4 â€""13y4 3x4 â€"" 8x2y2 x3y 9xy3 â€""13y4 x3y â€"" 8x2y2 9xy3 3x4 3x4 â€"" 8x2y2 x3y 9xy3 â€"" 13y4 3x4 x3y â€"" 8x2y2 9xy3 â€"" 13y4.

Answer 1

The first option is correct here: $-13y^4 + 3x^4 - 8x^2y^2 + x^3y + 9x y^3$

Given the polynomial:

$9xy^3 - 4y^4 - 10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4$

Simplification:

Combine the like terms together as shown below:

$9xy^3 - 4y^4 - 10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4\\= (-4y^4 - 9y^4) + 9xy^3 + (-10x^2y^2 + 2x^2y^2) +x^3y +3x^4\\= -13y^4 +9xy^3 -8x^2y^2 + x^3y + 3x^4\\= -13y^4 +3x^4 -8x^2y^2 + x^3y + 9xy^3$

Thus, the first option is correct here: $-13y^4 + 3x^4 - 8x^2y^2 + x^3y + 9x y^3$

For more information, refer to:

brainly.com/question/10689855