SOLUTION: I'm not sure if I'm posting this question in the right place, but here goes: Take a number. Add 1. Square the result. Then subtract from it the product of the original nu

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Question 44756: I'm not sure if I'm posting this question in the right place, but here goes:
Take a number.
Add 1.
Square the result.
Then subtract from it the product of the original number times two more than the original number.
What did you get?
Will it always be 1.
Can you explain?
Answer by Nate(3500) (Show Source):
You can put this solution on YOUR website!
Take a number.
(x)
Add 1.
(x + 1)
Square the result.
(x + 1)^2
Then subtract from it the product of the original number times two more than the original number.
(x + 1)^2 - x(x + 2)
What did you get?
(x + 1)^2 - x(x + 2)
x^2 + 2x + 1 - x^2 - 2x
x^2 - x^2 + 2x - 2x + 1
1
Will it always be 1. Yes, when you simplify, you get one. Here, I shall graph:
f(x) = (x + 1)^2 - x(x + 2)