Answer:
x=1+
2
,x
x
−1
,x
2
x
+1
,x
2
x
−1
2
,x
3
x
+1
3
I assume you want me to simplify the expression you provided. To simplify it, we can combine the terms that have the same denominator and then simplify each term individually.
First, let's find a common denominator for all the terms:
x+2(x-1)^2(x+1)^3 - 2(x-1)^2 - 3(x+1)^3
Next, we can simplify each term individually:
x: This term has the same denominator as the common denominator, so we can just write x as (x+1)^3/(x+1)^3.
2/(x-1)^2: This term has a denominator of (x-1)^2, so we can write it as 2/(x-1)^2.
-2/(x-1)^2: This term is already in its simplified form.
-3/(x+1)^3: This term has a denominator of (x+1)^3, so we can write it as -3/(x+1)^3.
Putting it all together, we get:
x+2(x-1)^2(x+1)^3 - 2(x-1)^2 - 3(x+1)^3
= (x+1)^3/(x+1)^3 + 2/(x-1)^2 - 2/(x-1)^2 - 3/(x+1)^3
= (x+1)^3/(x+1)^3 - 3/(x+1)^3
Therefore, the simplified expression is:
(x+1)^3/(x+1)^3 - 3/(x+1)^3
Simplifying further, we get:
1 - 3/(x+1)^3
So the final simplified expression is:
1 - 3/(x+1)^3