Question

Descompuneti in factori : x^4-4x^3+4x^2-9y^2+6y-1

Answer 1

   
[tex]\displaystyle\\ \text{Voi descompune in factori separat grupul de termeni care }\\ \text{contin puterile lui x si separat grupul celorlalti termeni.}\\\\ x^4-4x^3+4x^2-9y^2+6y-1 =\\\\ =(x^4-4x^3+4x^2)-(9y^2-6y+1) =\\\\ =x^2(x^2-4x+4)-(9y^2-6y+1) =\\\\ =x^2(x-2)^2-(3y-1)^2\\\\ [/tex]