X ^ 2-1 / X-1 reduction is x + 1. Why

X ^ 2-1 / X-1 reduction is x + 1. Why


(x²-1)/(x-1)=[(x+1)(x-1)]/(x-1)=x+1.



The result of simplifying X-2 / x + 2-x + 2 / X-2 is-----------


(x-2)^2-(x+2)^2 /(x+2)(x-2)=(x-2-x-2)(x-2+x+2)/(x+2)(x-2)=-8x/(x^2-4)



2 < x < 4 reduction: | X-2 | + | x-4|=————


|x-2|+|x-4|
=x-2+4-x
=2