SOLUTION: show that the values 0,1,-1 for x all satisfy (x-1)(x-1)+(x+1)(x+1)=2(x*x+1). Is this equation an identity?

Algebra ->  Inequalities -> SOLUTION: show that the values 0,1,-1 for x all satisfy (x-1)(x-1)+(x+1)(x+1)=2(x*x+1). Is this equation an identity?      Log On


   

Question 280108: show that the values 0,1,-1 for x all satisfy (x-1)(x-1)+(x+1)(x+1)=2(x*x+1). Is this equation an identity?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
using foil
(x-1)*(x-1)
x^2-2x+1
(x+1)*(x+1)
x^2+2x+1
adding together
2x^2-2x+2x+1+1
2x^2+2
2(x^2+1)
2(x*x+1)