问题
解答题
化简求值:[(x-y)2+y(4x-y)-8x]÷2x,其中x=8,y=2009.
答案
[(x-y)2+y(4x-y)-8x]÷2x,
=(x2-2xy+y2+4xy-y2-8x)÷2x,
=(x2+2xy-8x)÷2x,
=
x+y-4,1 2
当x=8,y=2009时,
原式=
×8+2009-4=2009.1 2
化简求值:[(x-y)2+y(4x-y)-8x]÷2x,其中x=8,y=2009.
[(x-y)2+y(4x-y)-8x]÷2x,
=(x2-2xy+y2+4xy-y2-8x)÷2x,
=(x2+2xy-8x)÷2x,
=
x+y-4,1 2
当x=8,y=2009时,
原式=
×8+2009-4=2009.1 2