x-2分之x-x+2分之x除以x-2分之4x,其中x=2012先化简再求值
问题描述:
x-2分之x-x+2分之x除以x-2分之4x,其中x=2012先化简再求值
答
x-2分之x-x+2分之x除以x-2分之4x
=[x/(x-2)-x/(x+2)]÷4x/(x-2)
=(x²+2x-x²+2x)/(x-2)(x+2)÷4x/(x-2)
=4x/(x-2)(x+2)÷4x/(x-2)
=1/(x+2)
=1/(2012+2)
=1/2014