x+y-2=0,求(x²-y²)²-8(x²+y²)的值.

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/14 02:37:26
x+y-2=0,求(x²-y²)²-8(x²+y²)的值.

x+y-2=0,求(x²-y²)²-8(x²+y²)的值.
x+y-2=0,求(x²-y²)²-8(x²+y²)的值.

x+y-2=0,求(x²-y²)²-8(x²+y²)的值.
x+y-2=0
x+y=2
(x²-y²)²-8(x²+y²)
=(x+y)²﹙x-y)²-8x²-8y²
=4(x²-2xy+y²)-8x²-8y²
=4x²-8xy-4y²-8x²-8y²
=-4(x²+2xy+y²)
=-4(x+y)²
=-4×2²
=-16