Skyrim has lower gpu requirements than BF3, especially with original textures. You gpu would be the problem with BF3.
HD 4890 (Skyrim) vs HD 6950 (BF3) - recommended specs, but Skyrim has higher cpu requirements which may be helping some with Skyrim in your case.
Your 7560D has a 3D Mark score of 1420 vs 5280 for an HD6950
According to the review below you card will do 37fps on low settings with BF3, but you are stuck with it, unless you have a rare laptop that the gpu can be upgraded on (economically ). Be careful pushing it though. Laptops heat up relatively easy under full load.
01:36 AM by