关于因式分解的几道题目
1.已知a+b=2/3,ab=2,求代数式a²b+2a²b²+ab²的值
2.证明:当n为大于2的整数时.n5-5n³+4n能被120整除
3.已知a+b+c=0.求证:a³+a²c+b²c-abc+b³=0
人气:339 ℃ 时间:2020-02-06 01:44:22
解答
第一道:原式=ab(a+2ab+b)=2(2/3+2×2)
第二道:原式=n(n2-4)(n2-1) ,无论n取任何大于2的整数时,都有120的因式,所以可以被120整除
第三道:证明:(a3+b3)+c(a2+b2-ab)=(a+b)(a2+b2-ab)+c(a2+b2-ab)=(a2+b2-ab)(a+b+c) 因为a+b+c=0 所以证明成立
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