((2x+3)/(x^2+2x) - (3-2x)/(x^2-2x)) * (4-x^2)/(x^2-3) = ((2x+3)(x^2-2x)/(x^2+2x) - (3-2x)(x^2+2x)/(x^2-2x)) * (4-x^2)/(x^2-3) = ((2x^3-4x^2+3x^2-6x-3x^2-6x+2x^3+4x^2)/(x^2+2x)(x^2-2x)) * (4-x^2)/(x^2-3) = (4x^3 - 12x)/(x^2+2x)(x^2-2x) * (4-x^2)/(x^2-3) = 4x(x^2-3)/(x^2+2x)(x^2-2x) * (4-x^2)/(x^2-3) = 4x/(x^2-2x)(x^2+2x) * (4-x^2) = 16x-4x^2 / (x^4-4x)