观察下式:(x-1)(x+1)=x^2-1;(x-1)(x^2+x+1)=x^3-1;(x-1)(x^3+x^2+x+1)=x^4-1观察下式:(x-1)(x+1)=x^2-1(x-1)(x^2+x+1)=x^3-1(x-1)(x^3+x^2+x+1)=x^4-1 (x-1)(x^4+x^3+x^2+x^1)=x^5-1.(1)试求 2^5+2^4+2^3+2^2+2+1 的值(2)写出2^2006+2^2005+...+2+1
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![观察下式:(x-1)(x+1)=x^2-1;(x-1)(x^2+x+1)=x^3-1;(x-1)(x^3+x^2+x+1)=x^4-1观察下式:(x-1)(x+1)=x^2-1(x-1)(x^2+x+1)=x^3-1(x-1)(x^3+x^2+x+1)=x^4-1 (x-1)(x^4+x^3+x^2+x^1)=x^5-1.(1)试求 2^5+2^4+2^3+2^2+2+1 的值(2)写出2^2006+2^2005+...+2+1](/uploads/image/z/3734156-20-6.jpg?t=%E8%A7%82%E5%AF%9F%E4%B8%8B%E5%BC%8F%3A%28x-1%29%28x%2B1%29%3Dx%5E2-1%3B%28x-1%29%28x%5E2%2Bx%2B1%29%3Dx%5E3-1%3B%28x-1%29%28x%5E3%2Bx%5E2%2Bx%2B1%29%3Dx%5E4-1%E8%A7%82%E5%AF%9F%E4%B8%8B%E5%BC%8F%3A%28x-1%29%28x%2B1%29%3Dx%5E2-1%28x-1%29%28x%5E2%2Bx%2B1%29%3Dx%5E3-1%28x-1%29%28x%5E3%2Bx%5E2%2Bx%2B1%29%3Dx%5E4-1+%EF%BC%88x-1%29%EF%BC%88x%5E4%2Bx%5E3%2Bx%5E2%2Bx%5E1%29%3Dx%5E5-1.%281%29%E8%AF%95%E6%B1%82+2%5E5%2B2%5E4%2B2%5E3%2B2%5E2%2B2%2B1+%E7%9A%84%E5%80%BC%282%29%E5%86%99%E5%87%BA2%5E2006%2B2%5E2005%2B...%2B2%2B1)
观察下式:(x-1)(x+1)=x^2-1;(x-1)(x^2+x+1)=x^3-1;(x-1)(x^3+x^2+x+1)=x^4-1观察下式:(x-1)(x+1)=x^2-1(x-1)(x^2+x+1)=x^3-1(x-1)(x^3+x^2+x+1)=x^4-1 (x-1)(x^4+x^3+x^2+x^1)=x^5-1.(1)试求 2^5+2^4+2^3+2^2+2+1 的值(2)写出2^2006+2^2005+...+2+1
观察下式:(x-1)(x+1)=x^2-1;(x-1)(x^2+x+1)=x^3-1;(x-1)(x^3+x^2+x+1)=x^4-1
观察下式:(x-1)(x+1)=x^2-1
(x-1)(x^2+x+1)=x^3-1
(x-1)(x^3+x^2+x+1)=x^4-1
(x-1)(x^4+x^3+x^2+x^1)=x^5-1
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(1)试求 2^5+2^4+2^3+2^2+2+1 的值
(2)写出2^2006+2^2005+...+2+1 的个位数
观察下式:(x-1)(x+1)=x^2-1;(x-1)(x^2+x+1)=x^3-1;(x-1)(x^3+x^2+x+1)=x^4-1观察下式:(x-1)(x+1)=x^2-1(x-1)(x^2+x+1)=x^3-1(x-1)(x^3+x^2+x+1)=x^4-1 (x-1)(x^4+x^3+x^2+x^1)=x^5-1.(1)试求 2^5+2^4+2^3+2^2+2+1 的值(2)写出2^2006+2^2005+...+2+1
2^5+2^4+2^3+2^2+2+1=(2-1)(2^5+2^4+2^3+2^2+2)+1
=2^6-1+1=64
2^2006+2^2005+...+2+1 =(2-1)(2^2006+2^2005+...+2)+1
=2^2007
2的个位数为2,4,8,6
2007/4余3 个位数为8
1
no