Factoring expressions with negative exponents

[JaclynF731]

Homework Statement

Factor
3x (4x-1)^-2 - 6x^2 (4x-1)^-1

Homework Equations

The Attempt at a Solution

 

[CompuChip]

I see an x and a factor of (4x - 1)^{-1} in both terms.
It's no different from an expression with positive exponents (if that makes you feel any better, first do it with +2 and +1)

 

[Mark44]

Without negative exponents, your expression can be written as
[tex]\frac{3x}{(4x - 1)^2} - \frac{6x^2}{(4x - 1)}
[/tex]
If you get a common denominator, it should be more obvious what you can factor out of each rational expression.