化简下面代数式(x+y/x-y+4xy/y^2-x^2)/x^2-4y^2/x^2+3xy+2y^2并求出x,y满足2^2+3xy-5y^2=0时,代数式的值
问题描述:
化简下面代数式(x+y/x-y+4xy/y^2-x^2)/x^2-4y^2/x^2+3xy+2y^2并求出x,y满足2^2+3xy-5y^2=0时,代数式的值
答
(x+y/x-y+4xy/y²-x²)/x²-4y²/x²+3xy+2y²分子A=(x+y)/(x-y)+(4xy)/(y²-x²)=[(x+y)²-4xy]/(x²-y²)=(x-y)²/(x²-y²)=(x-y)/(x...