How do you simplify #\frac { 4} { x + 1} - \frac { 4} { x }#?

1 Answer
LM
Oct 24, 2017

#-4/(x(x+1))#

Explanation:

#4/(x+1)-4/x#

LCM of #(x+1), x = x(x+1)#

#4/(x+1)-4/x = (4x)/(x(x+1))-(4(x+1))/(x(x+1))#

#(4x)/(x(x+1))-(4(x+1))/(x(x+1)) = (4x - 4(x+1))/(x(x+1))#

#= (4x-4x-4)/(x(x+1)) = -4/(x(x+1))#

Related questions
Impact of this question
463 views around the world
You can reuse this answer
Creative Commons License