计算﹙1/4a^3+n×b^m-1﹚²×﹙4a^3-n×b^m+1﹚²,1.已知x≠0且x+1/x=5,求x²+1/x²和x^4+1/x^4的值2.﹙1/4a^3+n×b^m-1﹚²×﹙4a^3-n×b^m+1﹚²3.已知x²+x-1=0,求：x³+2x²+3的值。x³+2x²

计算﹙1/4a^3+n×b^m-1﹚²×﹙4a^3-n×b^m+1﹚²,1.已知x≠0且x+1/x=5,求x²+1/x²和x^4+1/x^4的值2.﹙1/4a^3+n×b^m-1﹚²×﹙4a^3-n×b^m+1﹚²3.已知x²+x-1=0,求：x³+2x²+3的值。x³+2x²
计算﹙1/4a^3+n×b^m-1﹚²×﹙4a^3-n×b^m+1﹚²,
1.已知x≠0且x+1/x=5,求x²+1/x²和x^4+1/x^4的值
2.﹙1/4a^3+n×b^m-1﹚²×﹙4a^3-n×b^m+1﹚²
3.已知x²+x-1=0,求：x³+2x²+3的值。
x³+2x²+3
=x³+x²-x+x²+x+3
=x﹙x²+x-1﹚+﹙x²+x-1﹚+4
=0+0+4
=4
若：1+x+x²+x³=0,求：x+x²+x³+...+x^2004的值

计算﹙1/4a^3+n×b^m-1﹚²×﹙4a^3-n×b^m+1﹚²,1.已知x≠0且x+1/x=5,求x²+1/x²和x^4+1/x^4的值2.﹙1/4a^3+n×b^m-1﹚²×﹙4a^3-n×b^m+1﹚²3.已知x²+x-1=0,求：x³+2x²+3的值。x³+2x²
1. x+1/x=5 平方：x^2+2+1/x^2=25 x^2+1/x^2=23 x^4+1/x^4= 527
2. ﹙1/4a^3+n×b^m-1﹚²×﹙4a^3-n×b^m+1﹚²
=[a^6/16+a^3b^(m-1)/2+n^2b^(2m-2)][16a^6-8a^3b^(m+1)+n^2b^(2m+2)]
=a^12+8a^9b^(m-1)+16n^2a^6b^(2m-2)-a^9b^(m+1)/2-8n^2a^3b^(3m-1)+n^2a^6/16+n^2a^3b^(3m+1)+n^4b^(4m)
3. x+x²+x³+...+x^2004
= x(1+x+x²+x³)+x^5(1+x+x²+x³)+...+x^2001(1+x+x²+x³)
=0