Question

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?

Answer 1

Answer:

9xy^3 – 4y^4 – 10x^2 * y^2 + x^3 * y + 3x^4 + 2x^2 * y^2 – 9y^4

Step-by-step explanation:

Arranging the different terms of the polynomial: 

3x^4 + x^3 * y – 10x^2 * y^2 + 2x^2 * y^2 + 9xy^3 – 4y^4 – 9y^4

3x^4 + x^3 * y – 8x^2 * y^2 + 9xy^3 – 13y^4

Therefore, the third choice is the correct answer

Answer 2

Answer:

D. $3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4$

Step-by-step explanation:

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

$= 9xy^3 - 13y^4 - 8x^2y^2 + x^3y + 3x^4$

$= 3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4$