已知A=x²-2x+1,B=3x²-2x+5,求当|x|=2,3A-[﹙2A-B﹚-2﹙A-B﹚]的值

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已知A=x²-2x+1,B=3x²-2x+5,求当|x|=2,3A-[﹙2A-B﹚-2﹙A-B﹚]的值
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已知A=x²-2x+1,B=3x²-2x+5,求当|x|=2,3A-[﹙2A-B﹚-2﹙A-B﹚]的值
已知A=x²-2x+1,B=3x²-2x+5,求当|x|=2,3A-[﹙2A-B﹚-2﹙A-B﹚]的值

已知A=x²-2x+1,B=3x²-2x+5,求当|x|=2,3A-[﹙2A-B﹚-2﹙A-B﹚]的值
|x|=2
x=±2
3A-[﹙2A-B﹚-2﹙A-B﹚]
=3A-2A+B+2A-2B
=3A-B
=3x²-6x+3-3x²+2x-5
=-4x-2
=8-2=6或-8-2=-10

3A-[﹙2A-B﹚-2﹙A-B﹚]
=3A-2A+B+2A-2B
=3A-B
=3(x²-2x+1)-(3x²-2x+5)
=-4x-2
|x|=2
x=2或-2
∴原式=-10或6