问题 解答题

先化简,再求值(x-5y)(-x-5y)-(-x+5y)2,其中x=-1,y=0.5.

答案

(x-5y)(-x-5y)-(-x+5y)2

=-(x2-25y2)-(x2-10xy+25y2

=-x2+25y2-x2+10xy-25y2

=(-1-1)x2+(25-25)y2+10xy

=-2x2+10xy,

∵x=-1,y=0.5,

∴上式=-2×(-1)2+10×(-1)×0.5

=-2-5

=-7.

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