I'm trying to reduce the below equation but I'm kind of stuck. This is what I have done so far.
$((a + c)^2 - b^2) / (4a^2c^2 - (a^2 + c^2 - b^2)^2)$
--> $(a + c - b) (a + c + b) / (4a^2c^2 - a^4 - 2a^2c^2 + 2a^2b^2 - c^4 + 2b^2c^2 - b^4)$
--> $(a + c - b) (a + c + b) / (2a^2c^2 - a^4 - + 2a^2b^2 - c^4 + 2b^2c^2 - b^4)$
--> $(a + c - b) (a + c + b) / (a^2(2c^2 - a^2 + 2b^2) + b^2(2c^2 - b^2) - c^4)$
??????
This equation seems to grow bigger and bigger and I'm not able to reduce it. Did I do something wrong?
Thank you in advance