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That says its for Intel; I have an AMD.
On that note, why is mixing RAM a bad idea? I want to know the technological explanationLiterally any 204-Pin DDR3 memory will work (including the one you linked).
DDR3 is backward and forward compatible when it comes to SPEED, up to the maximum defined by your motherboard. The old memory in your photo has a "speed" of 1066Mhz, the memory you linked to has a "speed" of 1333Mhz. If your motherboard has a maximum memory speed of 1066, and you put in 1333 memory, it will run at 1066. Ultimately, the speed increase won't be very noticeable on a laptop, so anything 1066 or above should be fine.
Note that you do NOT need to find a matching module, as mentioned in the above post, only the pinout matters. Also, please beware that MIXING ram modules is a bad idea (if your motherboard has two slots, you should only use one or two sticks of the same thing).
On that note, why is mixing RAM a bad idea? I want to know the technological explanation