若多项式2mx2-x2+5x+8-(7x2-3y+5x)的值与x无关,求m2-[2m2-(5m-4)+m]的值.
人气:489 ℃ 时间:2019-11-24 00:17:13
解答
由于多项式的值与x无关,即含x的项系数均为零,
则2mx2-x2+5x+8-(7x2-3y+5x)=(2m-8)x2+3y+8;
所以2m-8=0,即m=4;
将m=4代入m2-[2m2-(5m-4)+m],则m2-[2m2-(5m-4)+m]=-m2+4m-4=-16+16-4=-4.
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