Given:

To find:
The simplified rational expression by subtraction.
Solution:
Let us factor
. It can be written as
.
using algebraic identity.

LCM of 
Make the denominators same using LCM.
Multiply and divide the first term by (x + 1) to make the denominator same.

Now, denominators are same, you can subtract the fractions.

Expand
.



Answer:
<em>y = (x - 4)² - 4 </em>
Step-by-step explanation:
y = x² - 8x + 12
y = ( x² - 2(4)x + 4² ) - 4² + 12
<em>y = (x - 4)² - 4</em>