作业帮你能帮我解答一下用数学归纳法证明x^2n-1+y^2n-1能被x+y整除吗x^[2(k+1)-1]+y^[2(k+1)-1]=x^(2k-1+2)+y^(2k-1+2)这一步我不懂,2乘进去应该是=x^(2k-2+2)+y^(2k-2+2)呀?
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/05 14:56:04
![你能帮我解答一下用数学归纳法证明x^2n-1+y^2n-1能被x+y整除吗x^[2(k+1)-1]+y^[2(k+1)-1]=x^(2k-1+2)+y^(2k-1+2)这一步我不懂,2乘进去应该是=x^(2k-2+2)+y^(2k-2+2)呀?](/uploads/image/z/8875013-5-3.jpg?t=%E4%BD%A0%E8%83%BD%E5%B8%AE%E6%88%91%E8%A7%A3%E7%AD%94%E4%B8%80%E4%B8%8B%E7%94%A8%E6%95%B0%E5%AD%A6%E5%BD%92%E7%BA%B3%E6%B3%95%E8%AF%81%E6%98%8Ex%5E2n-1%2By%5E2n-1%E8%83%BD%E8%A2%ABx%2By%E6%95%B4%E9%99%A4%E5%90%97x%5E%5B2%28k%2B1%29-1%5D%2By%5E%5B2%28k%2B1%29-1%5D%3Dx%5E%282k-1%2B2%29%2By%5E%282k-1%2B2%29%E8%BF%99%E4%B8%80%E6%AD%A5%E6%88%91%E4%B8%8D%E6%87%82%2C2%E4%B9%98%E8%BF%9B%E5%8E%BB%E5%BA%94%E8%AF%A5%E6%98%AF%3Dx%5E%282k-2%2B2%29%2By%5E%282k-2%2B2%29%E5%91%80%3F)
你能帮我解答一下用数学归纳法证明x^2n-1+y^2n-1能被x+y整除吗x^[2(k+1)-1]+y^[2(k+1)-1]=x^(2k-1+2)+y^(2k-1+2)这一步我不懂,2乘进去应该是=x^(2k-2+2)+y^(2k-2+2)呀?
你能帮我解答一下用数学归纳法证明x^2n-1+y^2n-1能被x+y整除吗
x^[2(k+1)-1]+y^[2(k+1)-1]
=x^(2k-1+2)+y^(2k-1+2)
这一步我不懂,2乘进去应该是
=x^(2k-2+2)+y^(2k-2+2)呀?
你能帮我解答一下用数学归纳法证明x^2n-1+y^2n-1能被x+y整除吗x^[2(k+1)-1]+y^[2(k+1)-1]=x^(2k-1+2)+y^(2k-1+2)这一步我不懂,2乘进去应该是=x^(2k-2+2)+y^(2k-2+2)呀?
指数2(k+1)-1=2k+2-1=2k-1+2,
您弄错了.