己知4x^2+20xy=-25y^2+12x+30y-9,求「(x+2y)(x-2y)-(x+4y)^2」/4y

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己知4x^2+20xy=-25y^2+12x+30y-9,求「(x+2y)(x-2y)-(x+4y)^2」/4y
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己知4x^2+20xy=-25y^2+12x+30y-9,求「(x+2y)(x-2y)-(x+4y)^2」/4y
己知4x^2+20xy=-25y^2+12x+30y-9,求「(x+2y)(x-2y)-(x+4y)^2」/4y

己知4x^2+20xy=-25y^2+12x+30y-9,求「(x+2y)(x-2y)-(x+4y)^2」/4y
∵4x^2+20xy=-25y^2+12x+30y-9
∴(2x+5y)^2-12x-30y+9=0
(2x+5y-3)^2=0
∴2x+5y=3
原式=(x^2-4y^2-x^2-8xy-16y^2)/4y
=(-8xy-20y^2)/4y
=-2x-5y
=-3