若|x+y-1|+(x-y-2)²=0,求代数式(x+2y)(x-2y)-(2x-y)(-y-2x)的值.

问题描述:

若|x+y-1|+(x-y-2)²=0,求代数式(x+2y)(x-2y)-(2x-y)(-y-2x)的值.
1个回答 分类:数学 2014-09-20

问题解答:

我来补答
x+y=1
x-y=2
(x+2y)(x-2y)-(2x-y)(-y-2x)
=(x+2y)(x-2y)+(2x-y)(y+2x)
=x²-4y²+4x²-y²
=5x²-5y²
=5(x+y)(x-y)
=10
 
 
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