https://file.aiquickdraw.com/mathbot/file/1726632411022uxaiz1xa.jpg

The given expression is:

\[
ac^2 + 15b - 5b - 9a
\]

Let's simplify and factor this.

### Step 1: Combine like terms
There are two terms involving \( b \), which can be combined:

\[
ac^2 + (15b - 5b) - 9a = ac^2 + 10b - 9a
\]

### Step 2: Look for grouping possibilities
The expression \( ac^2 + 10b - 9a \) does not factor easily with common factors, so we can leave it in its simplified form.

Thus, the factorization process leads to the simplified expression:

\[
ac^2 + 10b - 9a
\]

Let me know if you'd like more details or have any questions.

Here are five related questions to deepen understanding:

1. How would you factor an expression with multiple variables that contain perfect square terms?
2. Can you apply factoring techniques such as grouping to more complex terms in a polynomial?
3. What are the different methods for factoring polynomials involving multiple variables?
4. How can terms like \( ac^2 - 9a \) be factored further using common factors?
5. How does combining like terms help in simplifying algebraic expressions?

**Tip:** Always check if terms can be combined or simplified before attempting to factor expressions.

Factorize this expression: ac^2 + 15b - 5b - 9a

Learn how to simplify and factorize the expression ac^2 + 15b - 5b - 9a by combining like terms and simplifying algebraic expressions. This step-by-step guide is suitable for students in Grades 8-10.

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