3ax^2 - 27a

You can factor that into
3a (x^2 - 9), which also equals
3a(x-3)(x+3).

It is not clear from your question what you are supposed to do with that algebraic expression. If it were equal to zero, x would be +3 or -3.

If you are expected to factor, try factoring out 3a first: 3a(x^2 - 9)

You can also factor x^2 - 9. Can you determine those factors?

I hope this helps.

3ax2-27a

To factor the expression 3ax^2 - 27a, we can factor out the greatest common factor (GCF) both inside and outside the parentheses. In this case, the GCF is 3a.

So, we start by factoring out 3a, which gives us:

3a(x^2 - 9)

Now, let's focus on the expression inside the parentheses, x^2 - 9. This is a difference of squares since 9 can be written as 3^2. So we can factor this expression using the formula a^2 - b^2 = (a + b)(a - b).

In this case, a = x and b = 3. Applying the formula, we get:

(x + 3)(x - 3)

Putting it all together, the factored form of 3ax^2 - 27a is:

3a(x + 3)(x - 3)

This means that if the expression is equal to zero, x can be either -3 or +3.

I hope this explanation helps!