I know I've done things like this before, but I don't have my book on hand and I've forgotten quite a bit over summer. I've been looking online and can't find any problems similar to this. :/ Help please?

1. Factor

2. Factor

For number two I got an answer of (x+7)^1/4[1+(x+7)^1/2]... but I'm still a little uncomfortable with the whole way I did it.

(x+7)^1/4+(x+7)^1+1/4

(x+7)^1/4+(x+7)*(x+7)^-1/4

(x+7)^1/4[1+(x+7)(x+7)^-1/4-1/4]

(x+7)^1/4[1+(x+7)(x+7)^-1/2]

(x+7)^1/4[1+(x+7)^1/2]