Answer:
Option D is correct that is [tex]8x^6+8x^4y^2-5x^3y^3+x^2y^4-7xy^5[/tex]
Step-by-step explanation:
we have to combine the like terms
Like terms means the terms with same degree so,
for [tex]-5x^3y^3[/tex] has no like term since, x and y are of degree 3.
[tex]8x^4y^2[/tex] we have no like term again since there is no other x of degree 4
[tex]-xy^5[/tex] we have a like term [tex]-6xy^5[/tex]
[tex]-2x^2y^4[/tex] we have a like term [tex]3x^2y^4[/tex]
[tex]8x^6[/tex]we have no like term since, there is no other x of degree 6
Now, combining the like terms we will get
[tex]-5x^3y^3+8x^4y^2-xy^5-6xy^5-2x^2y^4+3x^2y^4+8x^6[/tex]
After simplification we will get
[tex]-5x^3y^3+8x^4y^2-xy^5-6xy^5-2x^2y^4+3x^2y^4+8x^6[/tex]
Rearranging the terms we will get
[tex]8x^6+8x^4y^2-5x^3y^3+x^2y^4-7xy^5[/tex]
