Given that a plus B equals 3, B plus C equals 2, a plus C equals 5, find a square plus b square plus C square plus AB plus AC plus BC

Given that a plus B equals 3, B plus C equals 2, a plus C equals 5, find a square plus b square plus C square plus AB plus AC plus BC

A square plus b square plus C square plus AB plus AC plus BC
=((a+b)²+(a+c)²+(b+c)²)/2
=(9+2+25)/2
=18