Question 44756
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)
{{{ graph( 300, 300, -5, 5, -5, 5, x^2 + 2x + 1 - x^2 - 2x ) }}}