Final answer:
The correct factorization of the expression 18y - 3ay + 12x - 2ax is 3y(6 - a) + 2x(6 - a), which is Option A.
Step-by-step explanation:
The correct factorization of the expression 18y - 3ay + 12x - 2ax is accomplished by finding common factors in each term and factoring them out. Let's break down the terms:
- For the first two terms 18y and -3ay, the common factor is 3y.
- For the last two terms 12x and -2ax, the common factor is 2x.
Now let's factor these out:
- 18y - 3ay factors out to 3y(6 - a).
- 12x - 2ax factors out to 2x(6 - a).
Combining these, we get the completely factored expression: 3y(6 - a) + 2x(6 - a).
Therefore, the correct answer is Option A: 3y(6 - a) + 2x(6 - a).