数学题[(x^2+x-12)/(2-x-x^2)]^2*[(x^2-3x+2)/(x^2+5x+4)]^2/[(x^2-5x+6)/(x^2+3x+2)]^2

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数学题[(x^2+x-12)/(2-x-x^2)]^2*[(x^2-3x+2)/(x^2+5x+4)]^2/[(x^2-5x+6)/(x^2+3x+2)]^2
数学题[(x^2+x-12)/(2-x-x^2)]^2*[(x^2-3x+2)/(x^2+5x+4)]^2/[(x^2-5x+6)/(x^2+3x+2)]^2

数学题[(x^2+x-12)/(2-x-x^2)]^2*[(x^2-3x+2)/(x^2+5x+4)]^2/[(x^2-5x+6)/(x^2+3x+2)]^2
[(x^2+x-12)/(2-x-x^2)]^2*[(x^2-3x+2)/(x^2+5x+4)]^2/[(x^2-5x+6)/(x^2+3x+2)]^2
=[(x-3)(x+4)/-(x-2)(x+1)]^2*[(x-2)(x-1)/(x+1)(x+4)]^2/[(x-2)(x-3)/(x+1)(x+2)]^2
={[(x-3)(x+4)/(x-2)(x+1)*[(x-2)(x-1)/(x+1)(x+4)] *[(x+1)(x+2)/(x-2)(x-3)]}^2
=[(x-1)(x+2)/(x+1)(x-2)]^2