先化简再求值,x分之x平方-y平方除(x-x分之2xy-y平方),其中x=2010,y=2011
问题描述:
先化简再求值,x分之x平方-y平方除(x-x分之2xy-y平方),其中x=2010,y=2011
答
(x²-y²)/x ÷ [x-(2xy-y²)/x]
=(x²-y²)/x ÷ [(x²-2xy+y²)/x]
=(x+y)(x-y) ÷ (x-y)²
=(x+y)/(x-y)
=(2010+2011)/(2010-2011)
= -4021
答
原式=[(x^2-y^2)/2]/[x-(2xy-y^2)/2]是这个吧?如果是这个的话,原式=[(x^2-y^2)/x]/[(x^2-2xy+y^2)/x] =(x^2-y^2)/(x^2-2xy+y^2) =[(x+y)(x-y...