2p2+4q4/4p4-8q2

is that (2p^2 + 4q^4(/(4p^4 - 8q^2) ?

if so, then
= 2(p^2 + 2q4)/(4(p^4 - 2q^2)

you can now divide top and bottom by 2, but not much is gained. Not a good factoring question.

X=8

To simplify the expression 2p^2 + (4q^4)/(4p^4) - 8q^2, let's break it down step by step.

Step 1: Simplify the term (4q^4)/(4p^4).
We can cancel out the common factor of 4 in the numerator and denominator:
(4q^4)/(4p^4) = q^4/p^4

Now our expression becomes: 2p^2 + q^4/p^4 - 8q^2

Step 2: Combine like terms.
Since we have terms with different variables (p and q), we cannot combine them. So, our expression remains as: 2p^2 + q^4/p^4 - 8q^2

Therefore, the simplified form of the expression 2p^2 + (4q^4)/(4p^4) - 8q^2 is 2p^2 + q^4/p^4 - 8q^2.