# Factoring Algebraic Expressions with Fractional Exponents

## Homework Statement

$$(4x-1)^{1/2}-1/3(4x-1)^{3/2}$$

## The Attempt at a Solution

I think the GCF is $$(4x-1)^{1/2}$$. So, I get $$(4x-1)^{1/2}(1+(-1/3(4x-1)))$$ = $$(4x-1)^{1/2}(-4/3x+4/3)$$ = $$-4/3(4x-1)^{1/2}(x-1)$$

However, the answer in the book is $$4/3(4x-1)^{1/2}(x-1)$$. I've done it several ways, and I either get a minus sign on the $$4/3$$, or the $$(x-1)$$ becomes $$(x+1)$$.

What am I missing?