Question

Which polynomial correctly combines the like term and express the given polynomial in standard form

Answer 1

Answer: c) $3x^4-13y^4+x^3y+9xy^3-8x^2y^2$

Step-by-step explanation:

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

Let's rearrange from the 4th power to 1.

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

Combine like terms (check if they have the same variable raised to the same power.

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

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

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

Answer 2

Answer is C I did this already