问题标题:
求证:2x^4-x^2大于等于2x^3-1
问题描述:
求证:2x^4-x^2大于等于2x^3-1
孙玉成回答:
(2x^4-x^2)-(2x^3-1)
=2x^4-2x^3-x^2+1
=2x^3(x-1)-(x-1)(x+1)
=(x-1)(2x^3-x-1)
=(x-1)^2(2x^2+2x+1)
=(x-1)^2(x^2+(x+1)^2)
>=0
童朝阳回答:
赞,谢谢
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