If A^2 + B^2 = 30 and AB = 10, what is the value of the expression (A - B)^2 + (A + B)^2? Pick one:
A) 10  B) 20  C) 30  D) 60  E) 70

Rationale: "( a - b ) ^ 2 = a ^ 2 + b ^ 2 - 2 ab = 30 - 20 = 10 ( a + b ) ^ 2 = a ^ 2 + b ^ 2 + 2 ab = 30 + 20 = 50 so ( a + b ) ^ 2 + ( a - b ) ^ 2 = 50 + 10 = 60 d"
Answer: D