The question was this: (1+x)^1/2 + (1+x) ^3/2

I worked it out as follows: = (1+x)^1/2 + (1+x)^1/2(1+x)^1 then factoring + sqrt 1+x ( 1 +(1+x))

However, the answer was: (2+x)(1+x)^1/2 which i can't get my head around!-Help much appreciated (step by step if possible) -many thanks.