作业帮已知x-2y=2012,求[(3x+2y)(3x-2y)-(x+2y)(5x-2y)]/(8x))
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已知x-2y=2012,求[(3x+2y)(3x-2y)-(x+2y)(5x-2y)]/(8x))
已知x-2y=2012,求[(3x+2y)(3x-2y)-(x+2y)(5x-2y)]/(8x))
已知x-2y=2012,求[(3x+2y)(3x-2y)-(x+2y)(5x-2y)]/(8x))
[(3x+2y)(3x-2y)-(x+2y)(5x-2y)]/(8x)
=[9x²-4y²-(5x²+10xy-2xy-4y²)]/(8x)
=(9x²-4y²-5x²-10xy+2xy+4y²)/(8x)
=(4x²-8xy)/(8x)
=x/2-y
=1/2*(x-2y)
=1/2*2012
=1006
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[(3x＋2y)(3x－2y)－(x＋2y)(5x－2y)]/(8x)
＝(9x²－4y²－5x²－8xy＋4y²)/(8x)
＝(4x²－8xy)/(8x)
＝[4x(x－2y)]/(8x)
＝(x－2y)/2
＝2012/2
＝1006
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