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
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![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](/uploads/image/z/5635703-47-3.jpg?t=%E8%AE%A1%E7%AE%97%EF%B9%991%2F4a%5E3%2Bn%C3%97b%5Em-1%EF%B9%9A%26%23178%3B%C3%97%EF%B9%994a%5E3-n%C3%97b%5Em%2B1%EF%B9%9A%26%23178%3B%2C1.%E5%B7%B2%E7%9F%A5x%E2%89%A00%E4%B8%94x%2B1%2Fx%3D5%2C%E6%B1%82x%26%23178%3B%2B1%2Fx%26%23178%3B%E5%92%8Cx%5E4%2B1%2Fx%5E4%E7%9A%84%E5%80%BC2.%EF%B9%991%2F4a%5E3%2Bn%C3%97b%5Em-1%EF%B9%9A%26%23178%3B%C3%97%EF%B9%994a%5E3-n%C3%97b%5Em%2B1%EF%B9%9A%26%23178%3B3.%E5%B7%B2%E7%9F%A5x%26%23178%3B%2Bx-1%3D0%2C%E6%B1%82%EF%BC%9Ax%26%23179%3B%2B2x%26%23178%3B%2B3%E7%9A%84%E5%80%BC%E3%80%82x%26%23179%3B%2B2x%26%23178%3B)
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