已知b^3+b^2-3=0,求2b^4-2b^2-6b+7的值

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已知b^3+b^2-3=0,求2b^4-2b^2-6b+7的值已知b^3+b^2-3=0,求2b^4-2b^2-6b+7的值已知b^3+b^2-3=0,求2b^4-2b^2-6b+7的值∵b^3+b^

已知b^3+b^2-3=0,求2b^4-2b^2-6b+7的值
已知b^3+b^2-3=0,求2b^4-2b^2-6b+7的值

已知b^3+b^2-3=0,求2b^4-2b^2-6b+7的值
∵b^3+b^2-3=0
∴b^3=3-b^2
b^4=3b-b^3
=3b-(3-b^2)
=3b-3+b^2
∴2b^4-2b^2-6b+7
=6b-6+2b^2-2b^2-6b+7
=7-6
=1


b³+b²-3=0
b³+b²=3
2b^4-2b²-6b+7
=2b(b³+b²)-2b³-2b²-6b+7
=2b×3-2b³-2b²-6b+7
=-2b³-2b²+7
=-2(b³+b²)+7
=-2×3+7
=-6+7
=1