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## Homework Statement

[tex](4x-1)^{1/2}-1/3(4x-1)^{3/2}[/tex]

## Homework Equations

## The Attempt at a Solution

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

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

What am I missing?