How do you write the mixed expression #(k+2)+(k-1)/(k-2)# as a rational expression?
1 Answer
Jun 15, 2017
Explanation:
Multiply k+2 by the common denominator (k-2)/(k-2) and then simplify:
#(k+2) + (k-1)/(k-2)#
#=((k+2)(k-2))/(k-2) + (k-1)/(k-2)#
#=(k^2-4)/(k-2) + (k-1)/(k-2)#
#= ((k^2-4)+(k-1))/(k-2)#
#= (k^2+k-5)/(k-2)#
Final Answer