# Factoring expressions with negative exponents

1. Jul 31, 2009

### JaclynF731

1. The problem statement, all variables and given/known data
Factor
3x (4x-1)^-2 - 6x^2 (4x-1)^-1

2. Relevant equations

3. The attempt at a solution

2. Jul 31, 2009

### 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)

Last edited: Aug 1, 2009
3. Jul 31, 2009

### Staff: Mentor

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