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因式分解:(x+y)ⁿ+² —2(x+y)ⁿ+¹ +(x+y)ⁿ
人气:412 ℃ 时间:2020-05-13 13:25:30
解答
(x+y)ⁿ+² —2(x+y)ⁿ+¹ +(x+y)ⁿ
=(x+y)ⁿ[(x+y)² —2(x+y) +1 ]
=(x+y)ⁿ(x+y-1)²(x+y)ⁿ+²=(x+y)ⁿ(x+y)²;(x+y)ⁿ+¹=(x+y)ⁿ(x+y);因此可以将(x+y)ⁿ提出来
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