Answer
$ (3x+5)^{1/3}(2x+3)^{1/2}(17x+27)$
Work Step by Step
$4(3x+5)^{1/3}(2x+3)^{3/2}+3(3x+5)^{4/3}(2x+3)^{1/2}=(3x+5)^{1/3}(2x+3)^{1/2}(4(2x+3)+3(3x+5))=(3x+5)^{1/3}(2x+3)^{1/2}(17x+27)$
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