I have been learning a bit more about blades lately.
Plywood is hard on blades no matter what. Plywood will wear out your blades faster than standard wood because of the hard glue and also the cross-grain pattern of the wood itself.
You can use almost any 10 inch blade in almost any 10 inch saw. Most have a 5/8 inch arbor. That doesn't mean that a given blade is optimum for a given cut. The blade will almost certainly cut the wood, but it may not be a good clean cut.
Blades are optimized for certain types of saws, certain types of cuts, and certain types of materials, including those with non-wood components, such as laminates. Blades that are optimum for a miter saw may not be so good on a table saw and visa versa; the hook angles are different.
Some blades are optimized to work reasonably well for multiple types of cuts. You can use general purpose blades or combination blades to make very decent crosscuts, rip cuts, and other cuts in softwood, hardwood, plywood, and other materials. Still, a general purpose blade or combination blade will not beat a specialized blade for a given type of cut, and it may wear out faster.
(Sidebar: General purpose blades and combination blades are not the same, even though most people use them the same way - as all-purpose blades that are "good enough" for many types of cuts.)
Choosing the right kerf makes a difference too. A thin kerf blade takes less effort and is better for low power motors, but wears out faster. A standard kerf blade takes a bigger bite and wastes more wood, but lasts longer.
For plywood,
@notskot is right. A Hi-ATB (HiATB) blade is the best choice for cutting plywood. It will give you clean cuts in plywood. You can get Hi-ATB blades from many manufacturers.
If you are cutting a lot of plywood, you may want to think about buying a second blade that you can use while the first blade is out for resharpening. (... and get it resharpened by the blade manufacturer or someone who truly knows how to resharpen a Hi-ATB blade.) As I said above, plywood is hard wearing on blades.
Another thing to think about is keeping your blades clean. The glue and other components of plywood can get on the hot blade and make it sticky and less sharp. I use a bucket lid from Home Depot, a brass brush, and blade cleaner to clean my blades. The bucket lid has a ring that supports the blade; use your finger in the blade hole to lift it out without cutting yourself. When the blade cleaner runs out, I may switch to Formula 409, an ordinary kitchen cleaner, which I have read is just as good and much less expensive.