Perform the operations and simplify the result when possible.

Question

2/x-2 + 3/x+2 - x-1/x²-4 

Show your solution please!☺️ Thank you!

Answer 1

2/(x-2) + 3/(x+2 )- (x-1)/(x²-4)

 

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

 

LCM of denominator is (x+2)(x-2)

 

=[2(x+2)  + 3(x-2) -(x-1)] / (x+2)(x-2)

 

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

 

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