Can anyone please explaing how this works? X+2/x-4 + x-2/x+3?

step by step solution would be greatly appreciated. i have been trying to make sense of this problem for the past hour and my brain is completely fried... Please help!!!!Can anyone please explaing how this works? X+2/x-4 + x-2/x+3?
((x + 2)/(x - 4)) + ((x - 2)(x + 3))





Multiply everything by (x - 4)(x + 3)





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


((x^2 + 3x + 2x + 6) + (x^2 - 4x - 2x + 8))/((x - 4)(x + 3))


(x^2 + 5x + 6 + x^2 - 6x + 8)/((x - 4)(x + 3))


(2x^2 - x + 14)/((x - 4)(x + 3)


(2x^2 - x + 14)(x^2 - x - 12)Can anyone please explaing how this works? X+2/x-4 + x-2/x+3?
x+2/(x-4)(x+3)+x-2/(x+3)(x-4)


add the top x+2+x-2=2x


answer 2x/(x-4)(x+3) Report Abuse

2/x-2/x=0





x+x=2x





-4+3=-1





0+2x-1=2x-1





Answer: 2x-1
What are you doing? simplify? solve? did you mean to have an equation??





If the directions are to simplify, then collect ';like terms';





x + x +2/x -2/x -4 +3





2x+0-1 = 2x-1
(x+2)/(x-4) + (x-2)/(x+3)





lcd = (x-4)(x+3)


so


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


((x^2 + 5x +6) + (x^2 -6x +8)) / x^2 - x - 12


(2x^2 -x + 14) / (x^2 -x - 12)

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