((x+2/2x^2-3x)-(x^2+2x/2x^2+x-6))/((1/2)-(1/4x-6))
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((x+2/2x^2-3x)-(x^2+2x/2x^2+x-6))/((1/2)-(1/4x-6))
![((x+2/2x^2-3x)-(x^2+2x/2x^2+x-6))/((1/2)-(1/4x-6))](/uploads/image/z/3593629-37-9.jpg?t=%28%28x%2B2%2F2x%5E2-3x%29-%28x%5E2%2B2x%2F2x%5E2%2Bx-6%29%29%2F%28%281%2F2%29-%281%2F4x-6%29%29)
((x+2/2x^2-3x)-(x^2+2x/2x^2+x-6))/((1/2)-(1/4x-6))
=[(x+2)/x(2x-3)-x(x+2)/(2x-3)(x+2)]/[(2x-4)/(4x-6)]
=[(x+2)/x-x]/(x-2)
=(-x^2+x+2)/x(x-2)
=-(x-2)(x+1)/x
=-(x+1)/x
=[(x+2)/x(2x-3)-x(x+2)/(2x-3)(x+2)]/[(2x-4)/(4x-6)]
=[(x+2)/x-x]/(x-2)
=(-x^2+x+2)/x(x-2)
=-(x-2)(x+1)/x
=-(x+1)/x
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