Question

1
-- -4
x^2
---------
4 4
-- + -- +1
x^2 x

Answer 1

just need it simplify

Answer 2

(1-x2)/x2 * x2/(4+4x +x2) =(1-x2)/(x2+4x+4) =(1-x2)/(x+2)2
(x+2)2 is (x+2) squared

Answer 3

so my final is
1-x^2
------
(x+2)^2

Answer 4

If the numerator is
\[ \frac{1}{x^2} -4\] then you get a different answer.

The easiest way to simplify is to multiply the top and bottom by x^2
the top becomes 1-4x^2
the bottom becomes 4+4x+x^2

As you know, the top can be factored into (1-2x)(1+2x)
and the bottom into (x+2)^2