Let a and b be positive integers such that ab + 1 divides a^+ b^. Show that the problem is the square of an integer.
Nope. But I knew that before I even read it. NOPE.
It's called a caret and it should be the character that the "6" key yields (the "6" key above the QWERTY part of the keyboard, not the 6 in the numeric keypad) when "shifted". In mathematics it means the number preceding it (the base) is to be raised to the index (or power, or exponent) of the number following it. Lacking a number following the caret is incorrect notation but, perhaps, squaring is the intent?
It's a square
I assume you mean a^2 + b^2. But we are not supposed to have to assume things. And what is "the problem is the square of an integer" supposed to mean? There are two integers, not one, and the problem is not its own solution.
You need to work on presentation, ok?
No. Not even a little. Letters in math hurts my neck. ;)
You missed more than one thing on your problem/
Not unless you can state the problem without being ambiguous. What does "ab + 1 divides a^+ b^" mean ?
a^ + b^ I'm fairly sure something is missing there.