Question

Rozłóż na czynniki; W(x) = (x^4-2x^2+1)-(x-1)^2

Answer 1

(x^4-2x^2+1)-(x-1)^2=
=(x^2-1)^2-(x-1)^2=
=(x^2-1)(x^2-1)-(x-1)^2=
=(x-1)(x+1)(x-1)(x+1)-(x-1)^2=
=(x-1)^2(x+1)^2-(x-1)^2=
=(x-1)^2{(x+1)^2-1}