Answer
$ \frac{1}{2}(x+1)^{1/2}(5x+2)$
Work Step by Step
$(x+1)^{3/2}+x\cdot\frac{3}{2}(x+1)^{1/2}=\frac{1}{2}(x+1)^{1/2}(2(x+1)+3x)=\frac{1}{2}(x+1)^{1/2}(5x+2)$
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