Some Help Simplifying Please Easy Forgot how to

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Homework Help Overview

The original poster is attempting to simplify the expression (x-5)/(x+1) and is confused about how it relates to the expression 1 - 6/(x+1). The subject area involves algebraic manipulation and simplification of rational expressions.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants suggest rewriting the expression in different forms, such as using a substitution (y=x+1) or employing polynomial long division. The original poster expresses uncertainty about the equivalence of the two expressions.

Discussion Status

Some participants have offered hints and alternative methods for approaching the simplification, indicating a collaborative effort to clarify the problem. There is no explicit consensus on a single method yet, but various strategies are being explored.

Contextual Notes

The original poster expresses feelings of confusion and inadequacy regarding their understanding of the simplification process, which may influence their engagement in the discussion.

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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

 
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Hint: x - 5 = (x+1) - 6
 
Rewrite (x-5)/(x+1) in terms of y=x+1. ehild
 
Or you can do polynomial long division.
 
Ahh I like ehild's little trick to make it simpler, never thought of it myself!
 
Thanks, Mentallic, I like it that you like it... :smile:

ehild
 

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