16X的四次方减1
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![16X的四次方减1](/uploads/image/f/91584-0-4.jpg?t=16X%E7%9A%84%E5%9B%9B%E6%AC%A1%E6%96%B9%E5%87%8F1)
由已知得x²+1=3x即(x²+1)/x=x+1/x=3x²+1/x²=(x+1/x)²-2*x*(1/x)=3²-2=7x的四次方+1/x
∵x²-3x+1=0∴x²+1=3x(x²+1)×1/x=3x×1/x∴x+(1/x)=3∴[x+(1/x)]²=3²x²+2×x×1/x+
x^2-3x+1=0x-3+1/x=0x+1/x=3(x+1/x)^2=9x^2+2+1/x^2=9x^2+1/x^2=7(x^2+1/x^2)^2=49x^4+2+1/x^4=49x^4+1/x^4
因为X^2-3X-1=0所以x-1/x=3(x-1/x)^2=3^2=9x^2+1/x^2-2=9x^2+1/x^2=11(x^2+1/x^2)^2=121x^4+1/x^4=121-2x^4-3+1
16x的16次方-y的四次方z的四次方=(4x^8-y^2z^2)(4x^8+y^2z^2)=(2x^4-yz)(2x^4+yz)(4x^8+2y^2z^2)
x^4-1=﹙x²+1﹚﹙x²-1﹚=﹙x²+1﹚﹙x+1﹚﹙x-1﹚
x的四次方减y的四次方=(x^2+y^2)(x^2-y^2)=(x^2+y^2)(x+y)(x-y)
∵(x^2)/(x^4+1)=1/3∴x^4+1=3x^2∴(x^4)/(x^8+x^4+1)=(x^4)/[(x^4+1)^2-x^4]=(x^4)/[(3x^2)^2-x^4]=(x^4)/(9x
∵x²+x+1=0两边除以x可得x+1+1/x=0x+1/x=-1两边平方可得x²+1/x²+2=1x²+1/x²=-1两边再平方可得x^4+1/x^
16x的四次方-8x²y²+y的四次方=(4x²-y²)²=(2x+y)²(2x-y)²如果本题有什么不明白可以追问,如果满意请点
16乘x的四次方减1=(2x)的四次方-1=[(2x)平方-1][(2x)平方+1]=(2x-1)(2x+1)(4x平方+1)
等于65527用计算器算下就好了啊16*16=256256*256=6553665539-9=65527
(2x^4)y³-x³y^4=(x³y³)(2x-y)=(xy)³(2x-y)=4³×(1/16)=4
x²-4x+1=0两边同时除以xx-4+1/x=0x+1/x=4两边同时平方x²+2+1/x²=16x²+1/x²=14两边同时平方x^4+2+1/x
x^4+y^4=x^4+2x^2y^2+y^4-2x^2y^2=(x^2+y^2)^2-2x^2y^2=(x^2+y^2+√2*xy)(x^2+y^2-√2*xy)
6X的四次方减11
16x^4-1=(4x^2-1)(4x^2+1)=(2x-1)(2x+1)(4x^2+1)x^2表示x的平方
2的4次方-x的4次方=(2²+x²)(2²-x²)=(4+x²)(2+x)(2-x)很高兴为您解答,【学习宝典】团队为您答题.请点击下面的【选为满意
x^2+3x+1=0x^2+1/x^2=((-3x-1)^1+1)/(-3x-1)=(9x^2+6x+2)/(-3x-1)=(-27x-9+6x+2)/(-3x-1)=7x^4+1/x^4=(x^2+
-16x^4+81y^4=(9y^2-4x^2)(9y^2+4x^2)=(3y-2x)(3y+2x)(9y^2+4x^2)