Answer:
[tex]\frac{x+6}{x+5}[/tex]
Step-by-step explanation:
given the rational expression
[tex]\frac{x^2+8x+12}{x^2+7x+10}[/tex] ( factorise numerator and denominator )
= [tex]\frac{(x+2)(x+6)}{(x+2)(x+5)}[/tex] ← cancel common factor (x + 2)
= [tex]\frac{x+6}{x+5}[/tex]
