Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 9xy3 – 4y4 – 10x2y2 + x3y + 3x4 + 2x2y2 – 9y4

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

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.

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

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

answer would be

d) 3x^4  + x^3y – 8x^2y^2 + 9xy^3 -13y^4 

3

Step-by-step explanation:

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

D.

Step-by-step explanation:

Option 4 is correct

Step-by-step explanation:

We have been given the polynomial

Like terms are those have same variables

For example

And

Rest of the terms do not have like terms after combining the like terms we get

After simplification we get

After arranging them in standard form we get

Hence, Option 4 is correct

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

We can only add and subtract like terms. We simplify as follows:

9xy3 – 4y4 – 10x2y2 + x3y + 3x4 + 2x2y2 – 9y4
9xy3 – 13y4 – 8x2y2 + x3y + 3x4

We express the given polynomial in standard form as follows:

9xy3 – 13y4 – 8x2y2 + x3y + 3x4
3x4 + x3y – 8x2y2 + 9xy3  – 13y4 > OPTION 4