What is #1/(x+5) + 1/(x+4)#?

1 Answer
Vikki
Nov 26, 2015

#(2x+9)/((x+4)(x+5))#

Explanation:

Starting off:
#1/(x+5)+1/(x+4)#

#color(red)((x+4)/(x+4))*1/(x+5)# +#color(blue)((x+5)/(x+5))*1/(x+4)# #=>#multiply by the LCD

#(x+4+x+5)/((x+4)(x+5))# #=>#Multiply

#(2x+9)/((x+4)(x+5))# #=># combined like terms

Completed

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