factor the denominators:-
c^2 + 5c + 6 = (c + 2)(c + 3)
c^2 + 3c + 2 = (c + 2)(c + 1)
so the LCM = (c + 2)(c + 1)(c + 3)
Subtracting the fractions:-
= c(c + 1) - 2(c + 3) / (c + 1)(c + 2) (c + 3)
= c^2 - c - 2) / (c + 1)(c + 2) (c + 3)
= (c - 2)(c + 1) / (c + 1)(c + 2) (c + 3)
= (c - 2) / (c + 2)(c + 3) (answer)
