Take any number except for 1. Square that number and then subtract one. Dived by one less than your original?

Question

number. Then subtract your oringinal number. Did you reach 1 for an answer? ( Redo the number game using a variable instead of an actual number and rewrite the problem as on rationalexpression). How did the number game use the skill of simplifying rational expressions? Create your own number game using the rules of algebra in order for someone to solve. Explain whether your number games uses the skill of simplifying rational expressions.

Answer 1

since (n² - 1)/(n-1) = n+1, subtracting n from the result always leaves 1.

Answer 2

When you set this up algebraically, you get [ (x^2 - 1) / (x-1) ] - x. You can simplify this get +1.