Well to keep things a little short - Explosion Release on in naruto verse is a kekkai genkai originally from Iwagakure. It has been suggested that in the anime that the element is comprised of Earth Release and Fire Release Lightning Release. It was first seen uses by Gari after being brought back via Edo tensai where in close combat he would take aim with a punch and basically...make a controlled explosion. The blasts created normally are angled away from himself in order to reduce recoil and potentially harmful effects on the user.
The blasts are different compared to the clay version in respect that Diedara infuses the chakra into his clay so that they can explode from a distance covering a wider range as opposed to Gari's style of short ranged demolitions. He also had the power to create bursts of explosions from his palms to push back tools and other people.
Good. Let's expand a bit. In terms of power, it is weak to Lightning and Water. Lightning is able to diffuse an explosion, straight forward. While Water is able to suppress an explosion, also simple. In terms of strengths it is strong to Wind, for its inability to suppress it, and strong to Earth for the same reason. Now bear in mind that you can control the direcitonality of the explosions however you'd like, within reason. A technique which doesn't mention how the explosion occurs, however, will naturally just be omnidirectional. Always keep in mind the potential debris blowback as well when you're using Bakuton. There are a lot of environmental factors which should always be kept in mind.
Deidara's is much like our version as well. He uses clay as the medium for the explosion. Our version is more 'free'. What this means is that we are able to do the same - we can infuse Explosions into earth or other solids. While it isn't clay it basically allows for the same vessel for an explosion. But this goes beyond that. We are of course able to create a close quarters style of fighting with this. This applies to both Taijutsu and potentially Kenjutsu. It also means that we can use this in its purest form, chakra. You've seen me do this the most.
Questions before we move onto techniques?