Simplifying difference quotient.

[mistalopez]

Homework Statement

See attachment!

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?

 

[Mark44]

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?

 

[mistalopez]

I got 6x-6-6x-6h-1 = -6h-7

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

Is that correct?

 

[Mark44]

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?