3rd British Mathematical Olympiad 1967 Problems

3rd British Mathematical Olympiad 1967 Problems1.  a, b are the roots of x2 + Ax + 1 = 0, and c, d are the roots of x2 + Bx + 1 = 0. Prove that (a - c)(b - c)(a + d)(b + d) = B2 - A2. 2.  Graph x8 + xy + y8 = 0,