How do you factor the expression $4x^(3/2) − 12x^(1/2) + 8x^(−1/2)$ ?

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Answer 1 · 2016-02-19T18:10:13

I found: $(4(x-1)(x-2))/sqrt(x)$

I used the fact that:
$x^(a/b)=rootbx^a$
and
$x^-a=1/x^a$
to get:
enter image source here

How do you factor the expression 4x^(3/2) − 12x^(1/2) + 8x^(−1/2)4x^(3/2) − 12x^(1/2) + 8x^(−1/2)?