问题
解答题
先化简,再求值:[(xy+2)(xy-2)-2(x2y2-2)]÷(xy),其中x=10,y=-
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答案
[(xy+2)(xy-2)-2(x2y2-2)]÷(xy),
=[(xy)2-22-2x2y2+4]÷(xy),
=(x2y2-4-2x2y2+4)÷(xy),
=(-x2y2)÷(xy),
=-xy,
当x=10,y=-
时,原式=-10×(-1 25
)=1 25
.2 5
先化简,再求值:[(xy+2)(xy-2)-2(x2y2-2)]÷(xy),其中x=10,y=-
|
[(xy+2)(xy-2)-2(x2y2-2)]÷(xy),
=[(xy)2-22-2x2y2+4]÷(xy),
=(x2y2-4-2x2y2+4)÷(xy),
=(-x2y2)÷(xy),
=-xy,
当x=10,y=-
时,原式=-10×(-1 25
)=1 25
.2 5