已知xy+x-y+1=6,(1-x^2)(1-y^2)+4xy=48,求xy-x+y+1的值!一定要今天

题目

已知xy+x-y+1=6,(1-x^2)(1-y^2)+4xy=48,求xy-x+y+1的值!一定要今天

答案

（1-x²)(1-y²)+4xy=1-y²-x²+x²y²+4xy=2xy-y²-x²+(1+xy)²=-(x-y)²+(1+xy)²=48(xy+x-y+1)(xy-x+y+1)=(xy+1)²-(x-y)²=48xy+x-y+1=6∴6（xy-x+y+1）=...