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