Answer:
B. (2d^2 - 3d-21)/((d+2)(d+3))
Step-by-step explanation:
(d^2 - 5d + 6)/(d^2 + d - d) + (d^2 - 4d-5)/(d^2+3d+2)
(d^2 - 5d + 6)/(d^2 + d - d) = (d-3)/(d+3)
(d^2 - 4d-5)/(d^2+3d+2) = (d - 5)/(d+2)
(d-3)/(d+3) + (d - 5)/(d+2)
Least common Multiplier of d + 3 and d + 2 is (d+3)(d+2)
((d-3)(d+2))/((d+3)(d+2)) + ((d-5)(d+3))/((d+2)(d+3))
((d-3)(d+2)+(d-5)(d+3))/((d+3)(d+2))
(2d^2 - 3d - 21)/((d+2)(d+3))
