Math Induction

2010-08-05 2:56 am
Prove by M.I. that 1^3 + 3^3 + 5^3 + 7^3 + ...... + (2n - 1)^3 = n^2(2n^2 - 1).
更新1:

To : STEVIE- G Do you mind to tell us how to factorize 2k^4 + 8k^3 + 11k^2 + 6k + 1 to (k^2 + 2k + 1)(2k^2 + 4k + 1)?

回答 (2)

2010-08-05 5:35 am
✔ 最佳答案
As follows:


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2010-08-05 13:19:12 補充:
It's because we know that there will be a factor of (k+1)² in R.H.S., then we use Long Division to further factorize the polynomial.
2010-08-05 4:37 am


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