I have some factoring questions that I wasn't sure how to do. The methods we can ue are common factoring, difference of squares, trinomial factoring, grouping, sum and difference of cubes, factor theorem, and extended factor theorem.) I'm not sure how to factor a trinomial though. These questions are to be factors completely as possible. If I could receive help it would be greatly appreciated.

1: x - d + (x-d)^2 I am thinking that this is simplified and can no longer be factored?

2: 36(2x-y)^2 - 25(u-2y)^2

After expanding and simplifying ( I'm not sure if I should expand or not) I end up with 144x^2-144xy-25u^2+100uy-99y^2 and then I factored the 144 out and got:

144(x^2-xy)-25u^2+100uy-99y^2 (not sure if factoring 144 out was correct and not sure what do to after this step)

3: Not sure how to factor this: y^5 - y^4 + y^3 - y^2 + y - 1

4: 9(x + 2y + z)^2 - 16(x - 2y + z) ^2 after expanding and simplifying I end up with -7x^2 + 100xy - 14xz - 28y^2 + 100xy - 7z^2

Then I factored some number out and get -7(x^2 + Z^2) + 100y(x + z) - 14(xz+y^2) ( I am not sure if this is correct and what to do next)

5: 3(x + 2W)^3 - 3p^3r^3 I get 3(x+2w)^3 - (pr) (^2r^2) not sure if this is right.

6: I am to common factor this question but am not sure how to:

-3(x-1)^2 - 12(x-1)^-3