作业帮化简[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
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/04 00:36:50
![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](/uploads/image/z/1253154-66-4.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%E6%AD%A5%E4%B8%80%E6%AD%A5%E7%9A%84%E5%81%9A)
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)]要步骤一步一步的做
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
=【3（x-2）×2（x-2）+3（x-2）×4（x+2）-3（x-2）×（x-1）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
= x²-8x-3