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Descompunerea in factori (2x-3)^2-x^2

Răspuns :

(2x-3)^2-x^2=
(2x-3-x)(2x-3+x)=
(x-3)(3x-3)
[tex] (2x-3)^{2} - x^{2} = 4x^{2} - 12x + 9 - x^{2} = 3x^{2} - 12x + 9 [/tex]=[tex] 3x^{2}-3x-9x+9 = 3x(x-1)-9(x-1) = (x-1)(3x-9 )[/tex]=[tex]3(x-1)(x-3)[/tex]