已知:x-2y=2009,求[(3x+2y)(3x-2y)-(x+2y)(5x-2y)]除以8x 的值

问题描述:

已知:x-2y=2009,求[(3x+2y)(3x-2y)-(x+2y)(5x-2y)]除以8x 的值

[(3x+2y)(3x-2y)-(x+2y)(5x-2y)]
=9x^2-4y^2-x^2+4y^2-4x^2-8xy
=4x^2-8xy
=4x(x-2y)
[(3x+2y)(3x-2y)-(x+2y)(5x-2y)]除以8x
=2009/2

原式=(9x²-4y²-5x²-8xy+4y²)÷8x
=(4x²-8xy)÷8x
=(x-2y)÷2
=2009/2