-Show that x-a is a factor of x^n-a^n for any positive integer n.
-Show that x+a is a factor of x^n+a^n for any positive odd integer n.
Prove that if a≠b, then (a, b) and (b, a) lie on a line perpendicular to the line y=x and are equidistant from y=x.
Prove that if f is a one-to-one odd function, f-^-1 is an odd function.
Consider the following system of equations in x+y:
Where the constants a, b, c, d, e, and f form an arithmetic sequence. How might you characterize the solutions to the system of equations?