Question 264441
(c^2+7c+12)

= c^2+4c+3c+12

= c(c+4)+3(c+4)

= (c+4)(c+3)


so  (c^2+7c+12)/(c+4) = (c+4)(c+3)/(c+4)

= c+3

(c^2+7c+12)/(c+4) = (c+3)