作业帮一道分式的乘除法求当x=-4时,式子（4-4x+x^2）分之（2x^2-18）÷[(x+3)·(x^2+x-6)分之(3-x)]的值
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![一道分式的乘除法求当x=-4时,式子（4-4x+x^2）分之（2x^2-18）÷[(x+3)·(x^2+x-6)分之(3-x)]的值](/uploads/image/z/11971699-43-9.jpg?t=%E4%B8%80%E9%81%93%E5%88%86%E5%BC%8F%E7%9A%84%E4%B9%98%E9%99%A4%E6%B3%95%E6%B1%82%E5%BD%93x%3D-4%E6%97%B6%2C%E5%BC%8F%E5%AD%90%EF%BC%884-4x%2Bx%5E2%EF%BC%89%E5%88%86%E4%B9%8B%EF%BC%882x%5E2-18%EF%BC%89%C3%B7%5B%28x%2B3%29%C2%B7%28x%5E2%2Bx-6%29%E5%88%86%E4%B9%8B%283-x%29%5D%E7%9A%84%E5%80%BC)
一道分式的乘除法求当x=-4时,式子（4-4x+x^2）分之（2x^2-18）÷[(x+3)·(x^2+x-6)分之(3-x)]的值
一道分式的乘除法
求当x=-4时,式子（4-4x+x^2）分之（2x^2-18）÷[(x+3)·(x^2+x-6)分之(3-x)]的值
一道分式的乘除法求当x=-4时,式子（4-4x+x^2）分之（2x^2-18）÷[(x+3)·(x^2+x-6)分之(3-x)]的值
原式=[2(x+3)(x-3)/(x-2)²]÷[-(x-3)(x+3)/(x+3)(x-2)]
=-[2(x+3)(x-3)/(x-2)²]×[(x-2)/(x-3)]
=-[2(x+3)(x-3)(x-2)/[(x-2)²(x-3)]
=-2(x+3)/(x-2)
=-2*(-1)/(-6)
=-1/3