Since #k+3# and #k# have no common factors: #color(white)("XXXX")#the Least Common Denominator of #color(white)("XXXX")##color(white)("XXXX")##9/(k+3)# and #3/k# #color(white)("XXXX")#is #color(white)("XXXX")##color(white)("XXXX")##(k)(k+3) = k^2+3k#