4x (to the 6th)

____________
2x-6

Miche/Dyl -- please use the same name for your posts.

Well that is my name.. That's very rude!! Michelle is my birth name!!!!!

Hmmm -- you and Dyl have the same internet provider address.

does it just want us to divide? Please provide more information.

if you just have to divide you should get the answer 2x^5+6x^4+18x^3+54x^2+162x+48x+1458/(x-3)

To simplify the expression (4x^6) / (2x - 6), we can divide both the numerator and denominator by the greatest common factor (GCF), if it exists.

To find the GCF, we can factor both (4x^6) and (2x - 6), and then find the common factors.

Let's start with (4x^6). We can factor out 2x^6 from it:
4x^6 = 2 * 2x^6 = 2(x^6)

Now let's look at (2x - 6). It cannot be factored further.

Therefore, the GCF of (4x^6) and (2x - 6) is 2.

Now, we divide both the numerator and denominator by the GCF, which is 2:

(4x^6) / (2x - 6) = (2(x^6)) / (2(x - 3))

The 2's cancel out:

(2(x^6)) / (2(x - 3)) = (x^6) / (x - 3)

So, the simplified expression is (x^6) / (x - 3).