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getting lots of stuck from this algebraic expression

geeknick
in Mathematics

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getting lots of stuck from this algebraic expression ??

1. The problem statement, all variables and given/known data

(4x−1)1/2−1/3(4x−1)3/2

 

 

2. Relevant equations

 

 

 

3. 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?

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