化简[6(x-2)²+12(x+2)(x-2)-3(x-1)²(x-2)]÷[3(2-x)]要步骤一
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化简[6(x-2)²+12(x+2)(x-2)-3(x-1)²(x-2)]÷[3(2-x)]要步骤一步一步的做
![化简[6(x-2)²+12(x+2)(x-2)-3(x-1)²(x-2)]÷[3(2-x)]要步骤一](/uploads/image/z/15866677-37-7.jpg?t=%E5%8C%96%E7%AE%80%5B6%28x-2%29%26%23178%3B%2B12%28x%2B2%29%28x-2%29-3%28x-1%29%26%23178%3B%28x-2%29%5D%C3%B7%5B3%282-x%29%5D%E8%A6%81%E6%AD%A5%E9%AA%A4%E4%B8%80)
解
[6(x-2)²+12(x+2)(x-2)-3(x-1)²(x-2)]÷[3(2-x)]
=3(x-2)[2(x-2)+4(x+2)-(x-1)²]÷[-3(x-2)]
=-[2(x-2)+4(x+2)-(x-1)²]
=-(2x-4+4x+8-x²+2x-1)
=-(8x-x²+3)
=x²-8x-3
[6(x-2)²+12(x+2)(x-2)-3(x-1)²(x-2)]÷[3(2-x)]
=3(x-2)[2(x-2)+4(x+2)-(x-1)²]÷[-3(x-2)]
=-[2(x-2)+4(x+2)-(x-1)²]
=-(2x-4+4x+8-x²+2x-1)
=-(8x-x²+3)
=x²-8x-3
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