The expression you provided is:

$3a - ax + bx - 3b$

We can simplify it by combining like terms. Group the terms involving $a$ and $b$:

$(3a - ax) + (bx - 3b)$

Next, factor out common terms from each group:

• From $3a - ax$, you can factor out $a$: $a(3 - x)$

• From $bx - 3b$, you can factor out $b$: $b(x - 3)$

Now, the simplified form of the expression is: $a(3 - x) + b(x - 3)$

Since $3 - x$ is the negative of $x - 3$, we can rewrite the second term as: $a(3 - x) - b(3 - x)$

Finally, factor out $3 - x$: $(3 - x)(a - b)$

So, the simplified expression is: $(3 - x)(a - b)$

Do you want more details or have any questions?

Here are five related questions to explore further:

1. How do you factor quadratic expressions with more terms?
2. What are common factorization techniques?
3. Can this be solved if specific values for $a$, $b$, and $x$ are given?
4. How does factoring help simplify algebraic equations?
5. How do you expand factored forms back to their original expressions?

Tip: Always check for common factors before performing complex operations like expanding or simplifying.