Restrângeti
[tex] {x}^{2} - 5x + 4 = [/tex]


Răspuns :


[tex] {x}^{2} - 5x + 4 = {x}^{2} - 4x - x + 4 = x( \frac{ {x}^{2} }{x} - \frac{ {2}^{2} \times x }{x}) + ( - x + 4) = x( {x}^{2 - 1} - {(2}^{2})) + ( - x + 4) = x(x - 4) + ( - x + 4) = (x - 4)( \frac{x(x - 4)}{x - 4} + \frac{ - x + 4}{x - 4}) = (x - 4)(x - 1) [/tex]