Question

Сократите дробь (х^2-x-6)/x+2

Answer 1

$\frac{ {x }^{2} - x - 6}{x + 2} \\ \frac{ {x}^{2} + 2x - 3x - 6 }{x + 2} \\ \frac{x \times (x + 2) - 3(x + 2)}{x + 2} \\ \frac{(x + 2) \times (x - 3)}{x + 2} \\ x - 3$

Answer 2

X^2-x-6
D=1-4x1x(-6)=25=5^2
x1=1+5/2=3
x2=1-5/2=-2
(x-3)(x+2)/(x+2)=x-3