Răspuns :
(x³ +8) / (x² +4x +4) = (x³ +2³) / (x+2)² = (x+2)(x² -2x +4) / (x+2)²
= (x-2)² / (x+2)
a³ + b³ = (a+b)(a²-ab+b²)
= (x-2)² / (x+2)
a³ + b³ = (a+b)(a²-ab+b²)
[tex]x^2+8= (x+4)(x-4)
x^2+4x+4=0
a=1
b=4
c=4
delta = b^{2}-4ac = 4^2-4*1* 4=16-16=0
x_{1} = \frac{-4+0}{2}=-2
delta= 0 o radacina
a(x-x1)(X-x2)
(x+2)(x+2)[/tex]
[tex](x+4)(x-4)/(x+2)(x+2) = x-4[/tex]
[tex](x+4)(x-4)/(x+2)(x+2) = x-4[/tex]