To simplify the given expression [tex]\(6x^2 y - 2x^2 y^3 - x y + 7\)[/tex], let's go through the following steps:
1. Write down the original expression:
[tex]\[
6x^2 y - 2x^2 y^3 - x y + 7
\][/tex]
2. Identify and group similar terms, if possible. In this expression, there are no like terms to combine because each term contains different combinations of variables and degrees.
3. Check if any terms can be factored out. In this case, it's clear that we can't factor anything common from all the terms because they differ significantly in their degree and variable components.
4. Verify if the expression is already in its simplest form:
[tex]\[
6x^2 y - 2x^2 y^3 - x y + 7
\][/tex]
Given that no further factoring, combining like terms, or simplification can be done, we conclude that the expression:
[tex]\[
6x^2 y - 2x^2 y^3 - x y + 7
\][/tex]
is already in its simplest form.
Therefore, the simplified form of the given expression is:
[tex]\[
6x^2 y - 2x^2 y^3 - x y + 7
\][/tex]
