SOLUTION: Take any number (except for 1) and square it. Subtract one. Divide by one less than your original number. Now subtract your original number. What is the result? I bet you got 1!

Click here to see ALL problems on Polynomials-and-rational-expressions

Question 513546: Take any number (except for 1) and square it. Subtract one. Divide by one less than your original number. Now subtract your original number. What is the result? I bet you got 1!
How does this number game work? HINT: Redo the number game using a variable instead of the actual number and rewrite the problem as a rational expression. How does the number game use the rules of simplifying rational expressions?
Create your own number game using the rules of algebra for your peers to try. Be sure to think about values that may not work.
Answer by richard1234(7193) (Show Source):
You can put this solution on YOUR website!
It works because if you choose some number x (other than 1), the number you obtain is

Here's one: Choose any positive integer greater than 1. Square it and add 1. Take the factorial of that number (x! = x*(x-1)*...*2*1). Take the units digit of the factorial and multiply it by your original number.