化简求值【(x-2y)2-x(x-4y) -8xy】÷4y,其中x=-1.5,y=2
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化简求值【(x-2y)2-x(x-4y) -8xy】÷4y,其中x=-1.5,y=2
![化简求值【(x-2y)2-x(x-4y) -8xy】÷4y,其中x=-1.5,y=2](/uploads/image/z/7548524-44-4.jpg?t=%E5%8C%96%E7%AE%80%E6%B1%82%E5%80%BC%E3%80%90%EF%BC%88x%EF%BC%8D2y%EF%BC%892%EF%BC%8Dx%28x%EF%BC%8D4y%29+%EF%BC%8D8xy%E3%80%91%C3%B74y%2C%E5%85%B6%E4%B8%ADx%3D-1.5%2Cy%3D2)
【(x-2y)2-x(x-4y) -8xy】÷4y
=【(x-2y)2-x(x-2y-2y) -8xy】÷4y
=【(x-2y)2-x(x-2y)+2xy -8xy】÷4y
=【X2+(x-2y)2-2x(x-2y)+x(x-2y)-x2+2xy -8xy】÷4y
=【(x-2y-x)2-x2+x(x-2y)+2xy-8xy】÷4y
=【(-2y)2-x2+x2-2xy+2xy-8xy】÷4y
=【4y2-x2+x2-2xy+2xy-8xy】÷4y
=【4y2-8xy】÷4y
=y-2x=2-2*(-1.5)
=2+3=5
=【(x-2y)2-x(x-2y-2y) -8xy】÷4y
=【(x-2y)2-x(x-2y)+2xy -8xy】÷4y
=【X2+(x-2y)2-2x(x-2y)+x(x-2y)-x2+2xy -8xy】÷4y
=【(x-2y-x)2-x2+x(x-2y)+2xy-8xy】÷4y
=【(-2y)2-x2+x2-2xy+2xy-8xy】÷4y
=【4y2-x2+x2-2xy+2xy-8xy】÷4y
=【4y2-8xy】÷4y
=y-2x=2-2*(-1.5)
=2+3=5
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