The expression you've provided is:

\[
-2x^7y^8 + 3(x + y) - 5xz
\]

This expression cannot be simplified further in terms of combining like terms since each term is unique:

1. **\(-2x^7y^8\)** is a term with variables \(x\) and \(y\) raised to the 7th and 8th powers, respectively.
2. **\(3(x + y)\)** is a binomial multiplied by 3.
3. **\(-5xz\)** is a term involving variables \(x\) and \(z\).

So the expression remains as:

\[
-2x^7y^8 + 3(x + y) - 5xz
\]

Would you like to expand the term \(3(x + y)\) or analyze any specific part of this expression further?

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**Relative Questions:**
1. How would you factor out common terms from an expression like this?
2. What would happen if you set \(y = 0\) in this expression?
3. Can this expression be simplified if \(x = 1\) and \(y = -1\)?
4. How does the degree of a polynomial affect its graph?
5. What are the possible values of the expression if \(x = 2\), \(y = 1\), and \(z = -3\)?

**Tip:** When working with algebraic expressions, always check if terms can be factored or combined to simplify the expression.

Explore the algebraic expression -2x^7y^8 + 3(x + y) - 5xz with detailed analysis and examples. Learn about polynomials, the binomial theorem, and algebraic expressions. Suitable for high school students.

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