Rational expressions very simble, but hard for me

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Homework Help Overview

The discussion revolves around simplifying a rational expression involving variables and coefficients. Participants are exploring the factorization of the numerator and denominator to identify common factors.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the factorization of terms in the expression, with some attempting to identify common factors while others express uncertainty about canceling terms due to differing signs.

Discussion Status

There is an ongoing exploration of factorization techniques, with some participants suggesting potential factors and others questioning the validity of canceling terms based on their signs. No consensus has been reached yet.

Contextual Notes

Participants are working within the constraints of the original expression and are focused on the algebraic manipulation of the terms without additional information or context provided.

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[tex]\frac{5x-5y-bx+by}{5x-5y+bx-by}[/tex]


i can't cancel anything

i can't factor anything

please help
 
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5x-5y=5(x-y)
do the same with b
 
but the b's (x and y) doesn't cancel since they have two different signs
 
-bx+by=(-b)(x-y). (x-y) IS a factor of both the numerator and the denominator.
 

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