(1/2x+1/3y)(1/3y-1/2x)+1/2x*(1/2x-1/3y),其中x=4,y=6先化简,再求值
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(1/2x+1/3y)(1/3y-1/2x)+1/2x*(1/2x-1/3y),其中x=4,y=6先化简,再求值
![(1/2x+1/3y)(1/3y-1/2x)+1/2x*(1/2x-1/3y),其中x=4,y=6先化简,再求值](/uploads/image/z/7014620-20-0.jpg?t=%281%2F2x%2B1%2F3y%29%281%2F3y-1%2F2x%29%2B1%2F2x%2A%281%2F2x-1%2F3y%29%2C%E5%85%B6%E4%B8%ADx%3D4%2Cy%3D6%E5%85%88%E5%8C%96%E7%AE%80%2C%E5%86%8D%E6%B1%82%E5%80%BC)
(1/2x+1/3y)(1/3y-1/2x)+1/2x*(1/2x-1/3y)
=(1/3y+1/2x)(1/3y-1/2x)+1/2x(1/2x-1/3y)
=(1/3y+1/2x)(1/3y-1/2x)-1/2x(1/3y-1/2x)
=(1/3y-1/2x)(1/3y+1/2x-1/2x)
=1/3y(1/3y-1/2x)
=1/9y^2-1/6xy
=1/9×36-1/6×4×6
=4-4
=0
=(1/3y+1/2x)(1/3y-1/2x)+1/2x(1/2x-1/3y)
=(1/3y+1/2x)(1/3y-1/2x)-1/2x(1/3y-1/2x)
=(1/3y-1/2x)(1/3y+1/2x-1/2x)
=1/3y(1/3y-1/2x)
=1/9y^2-1/6xy
=1/9×36-1/6×4×6
=4-4
=0
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