Question 189392
2/(x+2) + 3/(x+2) - (x+6)/(x^2 - 4)


2/(x+2) + 3/(x+2) - (x+6)/[(x+2)(x-2)]


[2(x-2)]/[(x+2)(x-2)] + 3/(x+2) - (x+6)/[(x+2)(x-2)]


[2(x-2)]/[(x+2)(x-2)] + [3(x-2)]/[(x+2)(x-2)] - (x+6)/[(x+2)(x-2)]


(2x-4)/[(x+2)(x-2)] + (3x-6)/[(x+2)(x-2)] - (x+6)/[(x+2)(x-2)]


(2x-4+3x-6-x-6)/[(x+2)(x-2)]


(4x-16)/[(x+2)(x-2)]


(4x-16)/(x^2-4)



Ans: 2/(x+2) + 3/(x+2) - (x+6)/(x^2 - 4) = (4x-16)/(x^2-4)