Question

(x²+x-2)÷(x+2)
(a²+4a+4)÷(a+2)
(6x²-11-3)÷(2x-3)​

Answer 1

Resposta:

a) $x-1$

b) $a+2$

c) $\frac{6x^2-14}{2x-3}$  ou  $\frac{2(3x^2-7)}{2x-3}$

Explicação passo-a-passo:

a) $\frac{x^2+x-2}{x+2}= \frac{(x+2)(x-1)}{x+2}=x-1$

b) $\frac{a^2+4a+4}{a+2}=\frac{(a+2)^2}{a+2}=\frac{(a+2)(a+2)}{a+2}=a+2$

c)$\frac{6x^2-11-3}{2x-3}=\frac{6x^2-14}{2x-3}=\frac{2(3x^2-7)}{2x-3}$