Respuesta :
Answer:
[tex]\frac{x+1}{x+2}[/tex]
Step-by-step explanation:
To simplify begin by factoring the numerator/ denominator
x² + 4x + 3 = (x + 1)(x + 3)
x² + 5x + 6 = (x + 2)(x + 3)
We can now express the fraction as
[tex]\frac{(x+1)(x+3)}{(x+2)(x+3)}[/tex]
Cancel the factor (x + 3) from the numerator/ denominator, leaving
[tex]\frac{x+1}{x+2}[/tex]