(x-2)/(x+2)-(x^2+12)/(x^2-4)

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(x-2)/(x+2)-(x^2+12)/(x^2-4)(x-2)/(x+2)-(x^2+12)/(x^2-4)(x-2)/(x+2)-(x^2+12)/(x^2-4)(x-2)/(x+2)-(x^2

(x-2)/(x+2)-(x^2+12)/(x^2-4)
(x-2)/(x+2)-(x^2+12)/(x^2-4)

(x-2)/(x+2)-(x^2+12)/(x^2-4)
(x-2)/(x+2)-(x^2+12)/(x^2-4)
=[(x-2)^2 - (x^2+12)]/[(x+2)(x-2)]
=(x^2 -4x+4 - x^2 -12)/[(x+2)(x-2)]
=(-4x-8)/[(x+2)(x-2)]
=-4(x+2)/[(x+2)(x-2)]
=-4/(x-2)

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