It is (A-1)(A+1) when factored
It is (x-1)(x-8) when factored
If you mean (1+2x)2, that is already factored.
When factored it is: (6x-1)(6x+1)
(1-y)(1+y)
It is: (c-4)(c-8) when factored
2(x-32)(x+60)
It is: (x-5)(x+1) when factored
2x2+5x+3 = (2x+3)(x+1) when factored
1+15c-34c Squared is already factored out.
Well x squared could can be broken down (factored) into x times x. So yes, it can be.
y2-4y-32 = (y+4)(y-8) when factored