Answer:
[tex]\frac{x+4}{x+3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x^2+5x + 4}{x^2+4x+3}[/tex] ← factor numerator and denominator
= [tex]\frac{(x+1)(x+4)}{(x+1)(x+3)}[/tex] ← cancel common factor (x + 1) on numerator/ denominator
= [tex]\frac{x+4}{x+3}[/tex]