Let's simplify the expression:

\[ 64a^5b - 34a^3b^6 + 44a^3b^2 \]

### Step-by-Step Solution:

The expression consists of three separate terms. Each of these terms has different degrees for the variables \(a\) and \(b\). Since they are not like terms (the exponents of \(a\) and \(b\) differ in each term), we cannot combine them directly.

Thus, the expression is already in its simplest form:

\[
64a^5b - 34a^3b^6 + 44a^3b^2
\]

Let me know if you'd like any further clarification or details!

### Related Questions:
1. What are "like terms" and how do you combine them?
2. How do you factor polynomials with multiple variables?
3. What is the degree of a polynomial with two variables?
4. How do you simplify expressions involving exponents and multiple variables?
5. Can you group terms with similar degrees in polynomials?

**Tip:** When simplifying expressions, always check if terms can be combined by matching the powers of the variables involved.

Understand how to simplify the polynomial expression 64a^5b - 34a^3b^6 + 44a^3b^2 by breaking it down into separate terms. Learn about like terms and why the expression cannot be simplified further. Suitable for Grades 9-11, this problem covers algebraic concepts like polynomials and simplification.

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