Some Help Simplifying Please Easy Forgot how to

[GreenPrint]

Homework Statement

Ok so I'm trying to simplify this

(x-5)/(x+1) which is apparently equal to 1 - 6/(x+1) but I don't see how there equal like I don't know what was done to this (x-5)/(x+1) to get that 1 - 6/(x+1). I feel kind of dumb as fel as if I should know this but I can't make sense of it one bit. Thank You for any help you can provide me with.

Homework Equations

The Attempt at a Solution

 

[Pengwuino]

Hint: x - 5 = (x+1) - 6

 

[ehild]

Rewrite (x-5)/(x+1) in terms of y=x+1. ehild

 

[Mark44]

Or you can do polynomial long division.

 

[Mentallic]

Ahh I like ehild's little trick to make it simpler, never thought of it myself!

 

[ehild]

Thanks, Mentallic, I like it that you like it...

ehild