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Factor
4x^3/2 - 2x^1/2 > 0
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The condition seems to be strange, since the problem asks to factor,
but the given part is not simply an expression (as a normal reader should expect), but inequality, instead.
Factoring itself is very simple in this problem, just in one single line
4x^(3/2) - 2x^(1/2) = 2x^(1/2)*(2x-1). ANSWER
The factor 2x^(1/2) is the common multiplier: it goes out the parentheses.
Solved.