The Asus is indeed the superior laptop, i.e. the graphics card is better than the one in the HP. However, depending on the type of gaming that you want to do, the HP may not be a bad way to go. If you do not max out the games you play, you should be alright with the HP. However, if you prefer to really max out the settings, the Asus model will be the best way to go, even though it will cost you more and give you a bit of a headache with customs and the added costs involved.
If you want to get a better idea of what to expect with the two graphics cards, check this link out: