(xy-2y)(xy+2y)-(x-y)²-x²y² 其中x=5/2 y=- 3/5 先化简后求值
问题描述:
(xy-2y)(xy+2y)-(x-y)²-x²y² 其中x=5/2 y=- 3/5 先化简后求值
答
(xy-2y)(xy+2y)-(x-y)²-x²y² =x²y² +2xy²-2xy²-4y²-x²+2xy-y² -x²y² =-x²-5y²+2xy
=25/4-5*9/25-2*5/2*3/5=25/4-9/5-3=149/20
答
原式=x^2y^2-4y^2-x^2+2xy-y^2-x^2y^2=-x^2+2xy-5y^2
=-(5/2)^2+2(-5/2)(-3/5)-5(-3/5)^2
=-25/4+3-9/5
=-101/20