Răspuns:
a) 9, 3; b) 4; c) 9, 4x, 3
Explicație pas cu pas:
[tex]a) \ x^2 - 6x + \boxed{9} = \Big(x - \boxed{3}\Big)^2[/tex]
unde x² - 2·3x + 3² = (x - 3)²
[tex]b) \ 4x + 24x^2 = \boxed{4} \cdot (1 + 6x)[/tex]
[tex]c) \ 16x^2 - \boxed{9} = \Big(\boxed{4x} + 3\Big)\Big(4x - \boxed{3}\Big)[/tex]
unde 16x² - 9 = (4x)² - 3² = (4x + 3)(4x - 3)
✍ Reținem:
Formule de calcul prescurtat:
[tex]\boxed{\boxed{\boldsymbol{(a \pm b)^{2} = a^{2} \pm 2ab + b^{2}}} \ \ \boxed{\boldsymbol{(a - b)(a + b) = a^{2} - b^{2}}}}\\[/tex]
