(a+1/a)(a^2+1/a^2)(a^4+1/a^4)(a^8+1/a^8)(a^16+1/a^16)(a^32+1/a^32)(a^2-1)

来源：学生作业帮助网编辑：作业帮时间：2024/05/07 18:05:49

(a+1/a)(a^2+1/a^2)(a^4+1/a^4)(a^8+1/a^8)(a^16+1/a^16)(a^32+1/a^32)(a^2-1)
(a+1/a)(a^2+1/a^2)(a^4+1/a^4)(a^8+1/a^8)(a^16+1/a^16)(a^32+1/a^32)(a^2-1)

(a+1/a)(a^2+1/a^2)(a^4+1/a^4)(a^8+1/a^8)(a^16+1/a^16)(a^32+1/a^32)(a^2-1)
原式 = [原式 *（a-1/a）]/（a-1/a）注：方差公式
=[(a^2-1/a^2)(a^2+1/a^2)(a^4+1/a^4)(a^8+1/a^8)(a^16+1/a^16)(a^32+1/a^32)(a^2-1)]/(a-1/a)
=[(a^4-1/a^4)(a^4+1/a^4)(a^8+1/a^8)(a^16+1/a^16)(a^32+1/a^32)(a^2-1)]/(a-1/a)
=[(a^8-1/a^8)(a^8+1/a^8)(a^16+1/a^16)(a^32+1/a^32)(a^2-1)]/(a-1/a)
=[(a^16-1/a^16)(a^16+1/a^16)(a^32+1/a^32)(a^2-1)]/(a-1/a)
=[(a^32-1/a^32)(a^32+1/a^32)(a^2-1)]/(a-1/a)
=[(a^64-1/a^64)(a^2-1)]/(a-1/a)
分子分母同时乘以a/[a^2-1]
原式=(a^64-1/a^64)*a
=a^65-1/a^63

原式=(a-1/a)(a+1/a)(a^2+1/a^2)(a^4+1/a^4)(a^8+1/a^8)(a^16+1/a^16)(a^32+1/a^32)(a^2-1)/(a-1/a)
=(a^2-1/a^2)(a^2+1/a^2)(a^4+1/a^4)(a^8+1/a^8)(a^16+1/a^16)(a^32+1/a^32)(a^2-1)/[(a^2-1)/a]
反复用平方差
=(a^64-1/a^64)(a^2-1)/[(a^2-1)/a]
=a(a^64-1/a^64)
=a^65-1/a^63

先乘(a-1/a),再除以(a-1/a)
原式=(a-1/a)(a+1/a)(a²+1/a²)...(a^32+1/a^32)(a²-1)÷(a-1/a)
=(a²-1/a²)(a²+1/a²).....(a^32+1/a^32)(a²-1)÷(a²-1)/a
=......
=(a^32-1/(a^32)(a^32+1/a^32)*a
=(a^64-1/a^64)*a
=a^65-1/a^63

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乘以(a-1/a)，再除以(a-1/a)，利用平方差公式
=(a-1/a)(a+1/a)(a^2+1/a^2)(a^4+1/a^4)(a^8+1/a^8)(a^16+1/a^16)(a^32+1/a^32)(a^2-1)/(a-1/a)
=(a^2-1/a^2)(a^2+1/a^2)(a^4+1/a^4)(a^8+1/a^8)(a^16+1/a^16)(a^32+1/a^32)(a^2-1)/(a-1/a)
=(a^4-1/a^4)(a^4+1/a^4)(a^8+1/a^8)(a^16+1/a^16)(a^32+1/a^32)(a^2-1)/(a-1/a)
=(a^8-1/a^8)(a^8+1/a^8)(a^16+1/a^16)(a^32+1/a^32)(a^2-1)/(a-1/a)
=(a^16-1/a^16)(a^16+1/a^16)(a^32+1/a^32)(a^2-1)/(a-1/a)
=(a^32-1/a^32)(a^32+1/a^32)(a^2-1)/(a-1/a)
=(a^64-1/a^64)(a^2-1)/(a-1/a)
=a(a^64-1/a^64)(a^2-1)/(a^2-1)
=a(a^64-1/a^64)
=a^65-1/a^63.

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(a 1)(a 2)(a 3)(a (a+2)(a+1)-a(a-3) a-1/a+2 1-a/-2-a -2×a×1/a 计算：[a-(1/a)]/a^2-2a+1/a a(a-1)(a-2)(a-3)(a-4)因式分解【1】a+a=a×a a= [ ]【2】a×a=a÷a a=[ ]【3】a×a=a－a a=[ ] [4]a－a=a＋a a=[ ] (通分） a/a^a^a+3a+2 ,a/a^a+2a+1 ,-1/3a+6 （a-a/a+1)/(a*a-2a)*(a+1)/(a*a+3a+2)要详细的计算说明！计算[(a-1)/a*a-4*a+4]-[(a+2)/(a*a-2*a*a)]-4/a a+a+1+a+2+a+3+a+4+a+5+a+6+a+7.+a+2013+a+2014=? 幂的计算题1、a×a^2×a^3×a^4×a^52、a+2a+3a+4a+a×a^2×a^3×a^4 [a/(a-1)+a/(a+2)](a+2)/(2a平方+3a+1)化简 1+a+a(1+a)+a(1+a)^2+...+a(1+a)^n a/a^2-4 a-1/a-2 a+2/a^2-4a+4 [(a/a-2)-(a/a+2)]÷4a/2-a,其中a=-1/2 (1-16a×a×a×a)÷（4a×a+1)÷(2a+1)²