Question

Factor completely 3u^4x^4-3x^4

Answer 1

The greatest common factor in this expression is 3x^4. Let's take it out:

3x^4(u^4 - 1)

u^4 - 1 is a difference of two squares and can be factored further:

3x^4(u^2 + 1)(u^2 - 1)

u^2 - 1 is also a difference of two squares:

3x^4(u^2 + 1)(u + 1)(u - 1)