Not being familiar with the Radeon R7 265, I'll have to do what you could have done already, run GPU Boss comparisons. I'll start with the R7 265 (desktop) vs the minimum Radeon (desktop) card, a desktop HD 7850 card, and return to edit my reply. .. and .. I do not have "good" news.
http://gpuboss.com/gpus/Radeon-R7-265-vs-Radeon-HD-7850
http://gpuboss.com/gpus/Radeon-R7-265-vs-GeForce-GTX-660
http://gpuboss.com/gpus/Radeon-R7-265-vs-GeForce-GTX-950M
The desktop version would only be roughly equal to the minimum cards, which means LOW graphics with normal high resolution for a better card than the laptop version. Deduct anywhere between 15% and 25% of the performance, because laptop makers are so overly conscious of battery life that they really cripple graphics a lot, and you are not looking at a laptop equal to a "Medium" graphics capability.
I'll repeat a common mantra: laptops are an ecological wasteland product, not "green" in any way, shape, or form. They are uneconomical, have terrible keyboards, and cannot be properly upgraded when they promptly go obsolete. They must be constantly replaced, and recovering either the precious metals or the rare earths they contain isn't possible with a profit.
A stationary computer need not take up large amounts of space in a crowded room. You can equip a mid-tower with gaming components for 50 to 60 percent of the cost of a gaming class laptop, and upgrade it a couple of times, then when it's six to eight years old, it CAN be a profitable option to recover at least the gold plating off its various connectors.