What is the corredt answer?

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Answer 1 · 2018-03-03T14:37:04

#3/(x-1)+4/(1-2x)=(2x+1)/((x-1)(2x-1))#

We begin by bringing the two terms under a common denominator:
#3/(x-1)+4/(1-2x)=(3(1-2x))/((x-1)(1-2x))+(4(x-1))/((x-1)(1-2x))#

Now we can just add the numerators:
#(3(1-2x)+4(x-1))/((x-1)(1-2x))=(3-6x+4x-4)/((x-1)(1-2x))=#

#=(-1-2x)/((x-1)(1-2x))#

Bring out a minus on both the top and bottom, making them cancel:
#(-(2x+1))/((x-1)(-(-1+2x)))=(-(2x+1))/(-(x-1)(2x-1))=#

#=(2x+1)/((x-1)(2x-1))# which is option #C#

Answer 2 · 2018-03-03T14:38:52

#C#

# 3/(x-1) + 4/(1-2x)#

#=(3-6x+4x-4)/((x-1)(1-2x)#

#= -(2x+1)/((x-1) (1-2x))#

#=(2x+1)/((x-1)(2x-1)# (multiplied #(1-2x)# with the negative sign)