Pyrovus is right. I have no knowledge on boric oxide , but the nearest compound is boric acid, [itex] \displaystyle H_3BO_3[/itex], or better written as [itex]\displaystyle B(OH)_3[/itex]. However, borax, [itex]\displaystyle Na_2B_4O_7 [/itex] is a cage-framework polyboric oxide. If you react this one with carbon dioxide, sodium carbonate will probably formed, resulting a cleavage inside the cage.
You'd better look up Lux' Acid and Base concept; non protonic compounds (very generally, oxides) can behave acid or base according to some rules. In here, I presume that carbon dioxide is the acid, and boric oxide is also acidic; that's why I am doubtful about any reaction, like Gokul.
In building up a compound, elemental properties drastically change. So we cannot devise a logic from there. Look at the example of water; hydrogen is a flammable gas, oxygen is a ignitor gas; water is a extinguisher.