Question

Buna ziua! Cum poate fi scris
5x patrat -4x-12 si x patrat-6x+8 folosind formule de calcul prescurtat

Answer 1

 

[tex] \displaystyle\\ \text{Formulele de calcul prescurtat din care vom folosi aici sunt:}\\\\ (a+b)^2;~~~(a-b)^2~~~(a+b)(a-b)\\\\ 1)\\ 5x^2 - 4x -12 = \\ = x^2 + 4x^2 -4x + 4 -16 = \\ = (x^2 -4x + 4) + (4x^2 -16) =\\  = \boxed{\bf (x - 2)^2 + (2x - 4)(2x + 4)}\\\\\\ 2)\\    x^2 - 6x + 8 =\\ = x^2 - 6x + 8  + 1 - 1 =\\ = x^2 - 6x + 9 - 1 =\\ = (x - 3)^2 - 1 =\\= \boxed{\bf [(x-3) -1][(x-3) +1]} [/tex]