2x-6/(4-4x+x^2)*(x^2+x-6)/(12-4x)/(x+3)
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2x-6/(4-4x+x^2)*(x^2+x-6)/(12-4x)/(x+3)
2x-6/(4-4x+x^2)*(x^2+x-6)/(12-4x)/(x+3)
2x-6/(4-4x+x^2)*(x^2+x-6)/(12-4x)/(x+3)
(2x-6)/(4-4x+x²)×(x²+x-6)/(12-4x)/(x+3)
=[2(x-3)/(x-2)²]×(x+3)(x-2)×1/4(3-x)×1/(x+3)
=-[2(x-3)/(x-2)²]×(x+3)(x-2)×1/4(x-3)×1/(x+3)
=1/2(x-2)
因式分解,
2x- 6 = 2(x-3)
4-4x+x^2 = (2-x)^2
X^2 + x - 6 = (x+3)(x-2)
12 - 4x = 4(3 - x)
所以结果是:
自己消吧!
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