The laptop at Newegg has more powerfull components (better processor 4700MQ which is quad core) which mean have less battery life, run hotter and will handle the newer games better. The processor is integrated with Intel® HD graphics 4600.
The second laptop uses the 4500U 2 core processor built under powered but runs cooler and better battery life. the processor Ultra-low-voltage platform. Dual-core, four-way processing provides maximum high-efficiency power to go. The Intel integrated graphics of the 4500 is a little better with the Intel® HD graphics 5000 .
So if power is a concern go with the one at Newegg and if battey life and cooler are main cocerns go with the Best buy model.