Question

已知x-2y=2012,求[(3x+2y)(3x-2y)-(x+2y)(5x-2y)]/(8x))

Answer 1

[(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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