A first Gen nexus 7 trounces any low end galaxy tablet. You said previously that the tab 3 and nexus 7 have the same android 4.1? Wrong. Being a nexus device the nexus 7 has access to Android 4.3, the latest and greatest. Expect to be receiving os updates atleast through 2014. Also, the nexus 7 surpasses processing power of most of the budget galaxy tablet systems. It's a no Brainer. The galaxy tab 2 is not even close to a kindle fire hd. If better than an apple product you mean better than an ipad 1 then yes, it's slightly better than an apple product.
EDIT: the Samsung galaxy nexus phone released in 2011 is still receiving os updates and is set to receive android 4.4 Kitkat. Expect the nexus 7 to outlive any galaxy tablet currently available (even the latest octa core galaxy note 10.1) in os updates.
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