Which laptop is better and will likely last longest?

Last longer? What do you mean? There is no such thing as 'futureproof' and NEITHER is a gaming laptop (you need to spend at least $1200 for one, because you need a seperate video card to run the graphics demands, which START at $349 for a desktop version!). The i5 will perform better then the A10 but ANY computer hardware will only be guaranteed for 40 hours a week ever week for 3 years worth of use (see warranties). By that time (3 years) you are normally on Desktops swapping out the GPU because it can't "keep up" and by year 5 your replacing out the entire computer as it is unable to run current hardware and software requirements. Laptops are worse because you CAN NOT SWAP PARTS OUT, so you would have to replace the entire laptop.

If you want a portable gaming platform get a Sony Vita, if you want a low expensive Gaming System, buy a Console. PC are very costly, require alot of maintenance, and your 'on your own' with them especially when they 'break'.