Question

responder a expressão, e marcar a alternativa certa, me ajudeeem!!

Answer 1

$\frac{4x+8}{x^2+3x+2}+\frac{3x-3}{x^2-1}$

⇒$=\frac{4\left(x+2\right)}{x^2+3x+2}+\frac{3x-3}{x^2-1}$

⇒$=\frac{4\left(x+2\right)}{\left(x+1\right)\left(x+2\right)}+\frac{3x-3}{x^2-1}$

⇒$=\frac{4\left(x+2\right)}{\left(x+1\right)\left(x+2\right)}+\frac{3\left(x-1\right)}{x^2-1}$

⇒$=\frac{4\left(x+2\right)}{\left(x+1\right)\left(x+2\right)}+\frac{3\left(x-1\right)}{\left(x+1\right)\left(x-1\right)}$

⇒$=\frac{4}{\left(x+1\right)}+\frac{3}{\left(x+1\right)}$

⇒$= \frac{7}{x+1}$