## College Algebra (6th Edition)

$x^{1/4}(\sqrt x - 1)$
To simplify, factor the first term at the smallest exponent $x^{1/4}.$ This is the greatest common factor. So, $x^{3/4} - x^{1/4} = x^{1/4}. x^{1/2} - x^{1/4}$ Factor out the greatest common factor $=x^{1/4}( x^{1/2} - 1)$ $=x^{1/4}( \sqrt x - 1)$