已知|2-x|与|x-y+4|互为相反数,求代数式3(x-y)-5(x-y)-3(x-y)+(y-x)-4(x+y)+3(y-x)的值
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![已知|2-x|与|x-y+4|互为相反数,求代数式3(x-y)-5(x-y)-3(x-y)+(y-x)-4(x+y)+3(y-x)的值](/uploads/image/z/10408361-41-1.jpg?t=%E5%B7%B2%E7%9F%A5%7C2-x%7C%E4%B8%8E%7Cx-y%2B4%7C%E4%BA%92%E4%B8%BA%E7%9B%B8%E5%8F%8D%E6%95%B0%2C%E6%B1%82%E4%BB%A3%E6%95%B0%E5%BC%8F3%28x-y%29-5%28x-y%29-3%28x-y%29%2B%28y-x%29-4%28x%2By%29%2B3%28y-x%29%E7%9A%84%E5%80%BC)
已知|2-x|与|x-y+4|互为相反数,求代数式3(x-y)-5(x-y)-3(x-y)+(y-x)-4(x+y)+3(y-x)的值
已知|2-x|与|x-y+4|互为相反数,求代数式3(x-y)-5(x-y)-3(x-y)+(y-x)-4(x+y)+3(y-x)的值
已知|2-x|与|x-y+4|互为相反数,求代数式3(x-y)-5(x-y)-3(x-y)+(y-x)-4(x+y)+3(y-x)的值
|2-x|+|x-y+4|=0 2-x=0,x-y+4=0 x=2,2-y+4=0,y=6 3(x-y)-5(x-y)^2-3(x-y)+(y-x)^2+4(x+y)^2+3(y-x) =-4(x-y)^2+4(x+y)^2+3(y-x) =-4(x+y-x+y)(x+y+x-y)+3(y-x) =-16xy+3(y-x) =-192+12=-180