问题 解答题
已知:m,x,y满足:(1)
2
3
(x-5)2+5|m|=0
;(2)-2a2by+1与7b3a2是同类项.
求代数式:2x2-6y2+m(xy-9y2)-(3x2-3xy+7y2)的值.
答案

2
3
(x-5)2+5|m|=0,(x-5)2≥0,|m|≥0,

∴(x-5)2=0,|m|=0,∴x-5=0,m=0

∴x=5

∵-2a2by+1与7b3a2是同类项

∴y+1=3,∴y=2

∴2x2-6y2+m(xy-9y2)-(3x2-3xy+7y2

=2x2-6y2+mxy-9my2-3x2+3xy-7y2

=-x2-13y2-9my2+mxy+3xy

=-52-13×22-9×0×22+0×5×2+3×5×2

=-47.

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