2x-6/(4-4x+4x^2)÷(x+3)×[(x+3)(x-2)]/(3-x)
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(2x-6)/(4-4x+x^2)÷(x+3)×[(x+3)(x-2)]/(3-x)
=2(x-3)/(4-4x+x^2)×1/(x+3)×[(x+3)(x-2)]/(3-x)
=2(x-3)/(4-4x+x^2)×(x-2)/(3-x)
=-2(x-3)/(4-4x+x^2)×(x-2)/(x-3)
=-2(x-2)/(4-4x+x^2)
=-2(x-2)/(x-2)^2
=-2/(x-2)
=2(x-3)/(4-4x+x^2)×1/(x+3)×[(x+3)(x-2)]/(3-x)
=2(x-3)/(4-4x+x^2)×(x-2)/(3-x)
=-2(x-3)/(4-4x+x^2)×(x-2)/(x-3)
=-2(x-2)/(4-4x+x^2)
=-2(x-2)/(x-2)^2
=-2/(x-2)
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