MATHSTUCK :(
posted by Anonymous .
I really need help factoring these special Trinomials.
This question really puzzled me. I thought I had it correct, but when I checked the answer at the back of the book, I was wrong, and so I would like to know what was it that I had done wrong.
This was the question:
x^24x+4
This is how I solved it:
x^24x+4
x^22x2x+4
x(x2)2(x+2)
(x2)(x+2)
 I could not get any further than this. I thought that this would be correct, but the actual answer is
(x2)^2
How did they get that?
If there is an easier way to solve this, then can you please show me how. Cause solving things like I have above is difficult.

Your error is in this line of yours
x(x2)2(x+2)
notice when you multiply it back out you don't get your original, and you don't have a "common" factor.
should have been
x(x2)2(x2) to get back your x^2  4x + 4
= (x2)(x2)
= (x2)^2