Did Deidara really do care his partner(Sasori and Tobi)??ahh i really want to know that.he call Sasori "Sasori no danna" andhe told Tobi to run away when he tries to use C4.

'Sasori no Danna' is roughly translated to 'Master Sasori', but the dubbed screwed up and edited it to 'My Man Sasori'. Anyway, he calls Sasori that because he respects him and his views as a fellow artist, and obviously he cares about him, didn't you see him go all emo after he died?! Poor Dei :(
I've never really known about Tobi, but I think he cared about him in some crazy, long-winded way. With the C4 warning, he probably did care about him, just in the way that Sasuke cared about Sakura I guess (crappy analogy, ik, but you get my drift). Hope this helps :)

No he didn't(i think).The reason he called Sasori:"Sasori no daana"is beacuse Sasori cares about art to!Sasori no danna means:"Sasori my man"!

I think... NOPE!