Very simple Simplification Question

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Homework Help Overview

The discussion revolves around simplifying the expression (2x^2+4x+2)/(x+1) without solving for l. Participants are exploring algebraic simplification techniques related to polynomial expressions.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to simplify the expression and notes confusion regarding the steps to reach the answer provided in the textbook. Another participant suggests considering perfect squares to further simplify a component of the expression.

Discussion Status

The discussion includes attempts to clarify the simplification process, with one participant expressing realization after receiving assistance. There is an indication of productive engagement, but no explicit consensus on the steps taken.

Contextual Notes

The original poster specifies a desire to simplify rather than solve the equation, which frames the nature of the discussion. The presence of a textbook answer without accompanying steps raises questions about the simplification process.

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Homework Statement



(2x^2+4x+2)/x+1 = l

Simplify the equation for l. I do not want to solve it, just simplify.

Homework Equations





The Attempt at a Solution



I actually reduced the equation this far already, and the back of the book says I have gotten the equation right up to this point, but then it gives the answer, but not the steps to get there. The ANSWER: 2(x+1) ... I do not understand how to get that .
 
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(2x^2+4x+2)=2(x^2+2x+1)

can you simplify (x^2+2x+1) further? (think of perfect squares)
 
OH! Ok, I got it. Thanks for the help! I can't believe I missed that.
 
(2x^{2}+4x+2)/(x+1)

(2(x^{2}+2x+1)/(x+1)

2(x+1)^{2}/(x+1)

2(x+1)
 

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