I've got an ASUS laptop, and my TS2 game works fine on it. TS3 also ran fine (borked now, haven't fixed it), and TS4 is slow but works. Depends on your computer specs, though. One type of ASUS laptop won't have the same specs as a different ASUS laptop.
It would help a lot if you listed the specs, since not all graphics cards are created equal, and TS2 is VERY finicky about graphics cards. Some of the "bad" or outdated ones it loves, while new ones that are fresh off the shelf and highly recommended for gaming with any other game makes TS2 puke.
Although, heads up, if it's any type of "integrated graphics" (like at least 75% of all laptops are nowadays), it won't play Sims, as it's not an actual graphics card (and it is NOT as good as a graphics card, no matter what the company says when trying to sell it to you).