关于杨辉三角形的问题化简：（x-1)^5+5(x-1)^4+10(x-1)^3+10(x-1)^2+5(x-1)a^5+

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/17 04:59:25

关于杨辉三角形的问题
化简：（x-1)^5+5(x-1)^4+10(x-1)^3+10(x-1)^2+5(x-1)
a^5+5a^4+10a^3+10a^2+5a+1=(a+1)^5
(x-1)^5+5(x-1)^4+10(x-1)^3+10(x-1)^2+5(x-1)=
(x-1)^5+5(x-1)^4+10(x-1)^3+10(x-1)^2+5(x-1)+1-1=
(x-1+1)^5-1
=x^5-1
为什么【a^5+5a^4+10a^3+10a^2+5a+1】等于【(a+1)^5】
其他的都懂了

杨辉三角

a^0=1
(a+1)^1=a+1
(a+1)^2=a^2+2a+1
(a+1)^3=a^3+3a^2+3a(^1)+1
(a+1)^4=a^4+4a^3+6a^3+4a^2+a+1
……
以此类推

|X-1|+|X-2|+|X-3|+|X-4|+|X-5|+|X-6|+|X-7|+|X-8|+|X-9|+|X-10| y=(x-1)(x-2)(x-3)(x-4)(x-5)(x-6)(x-7)(x-8)(x-9)(x-10)的导数在x=1 x+2/x+1-x+3/x+2-x+4/x+3+x+5/x+4 x^5+x^4 = (x^3-x)(x^2+x+1)+x^2+x 设函数f(x)=(x-1)(x-2)(x-3)(x-4)(x-5)(x-6)(x-7)(x-8)(x-9)(x-10), 计算（x*x+4x+5）/（x+2）-（x*x+6x+10）/（x+3）+1 求函数y=\x-1\+\x-2\+\x-3\+\x-4\+\x-5\+\x-6\+.+\x-10\的最小值 1x+2x+3x+4x+5x+6x+7x+8x+9x+10x+11x+12x+13x+14x+15x=550 已知1+x+x^2+x^3=0,求x+x^2+x^3+x^4+x^5+x^6+x^7+x^8的值 1x()+2x()+3x()+4x()+5x()+6x()+7x()+8x()加9x()+10x()=1980 (x+1)(x+2)(x+3)(x+4)(x+5)(x+6)(x+7)(x+8)(x+9)(x+10)请化简 1X?+2X?+3X?+4X?+5X?+6X?+7X?+8X?+9X?+10X?=1980求?是多少