Simplifying difference quotient.

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Homework Help Overview

The discussion revolves around simplifying a difference quotient in the context of calculus. Participants are examining the algebraic manipulation involved in the process, particularly focusing on the numerator and denominator after applying the least common denominator (LCD).

Discussion Character

  • Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to simplify the expression by multiplying by the LCD and are discussing the resulting numerator and denominator. Questions are raised regarding the correctness of the algebraic steps taken and the simplification process.

Discussion Status

The discussion is ongoing, with participants providing feedback on each other's algebraic manipulations. Some guidance has been offered regarding the correct form of the numerator and denominator, but there is no explicit consensus on the final answer yet.

Contextual Notes

There appears to be confusion regarding the simplification steps, particularly in the numerator's formulation. Participants are working within the constraints of the problem as presented, with no additional information provided.

mistalopez
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Homework Statement



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2. The attempt at a solution

I multiplied by the LCD of (x+h-1)(x-1) and got 6h/h(x+h-1)(x-1) . I then got 6h/h^2+2hx-2h . However, my answer seems to be wrong. What is my error?
 

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After you multiplied top and bottom by the LCD, the denominator is now h(x + h - 1)(x - 1).
What do you have for the numerator?
 
I got 6x-6-6x-6h-1 = -6h-7

The final answer -6h-7/h(x+h-1)(x-1)

Is that correct?
 
You have a mistake. The numerator should be 6x - 6 - 6x -6h + 6. As I already said, the denominator is h(x + h - 1)(x - 1).

What does all that simplify to?
 

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