Question

Dacă a=x^4+2x^2+1-(x-1)^2 , atunci descompus in factori a=?

Answer 1

a=x^4+2x^2+1-(x-1)^2  =

  (x^2 + 1)^2  -  (x - 1)^2 =

  (x^2 + 1 + x - 1) (x^2 + 1 - x + 1) =

 (x^2 + x) (x^2 - x + 2)