Respuesta :

Answer:

4th option

Step-by-step explanation:

Given

[tex]\frac{x}{x^2+3x+2}[/tex] - [tex]\frac{1}{(x+2)(x+1)}[/tex] ← expand denominator using FOIL

= [tex]\frac{x}{x^2+3x+2}[/tex] - [tex]\frac{1}{x^2+3x+2}[/tex]

Since the denominators are common, then subtract the numerators

= [tex]\frac{x-1}{x^2+3x+2}[/tex]