X的Y次方笔算

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6x y的3次方-9x的2次方y的2次方-y的4次方因式分解

6xy³-9x²y²-y^4=-y²(-6xy+9x²+y²)=-y²[(3x)²+2×3x×(-y)+(-y)&sup

[6(x-y)的3次方*(x+y)的4次方-9*(x-y)的平方*(x+y)的3次方]根号[3(x-y)(x+y)]

6*(x+y)^7-9*(x+y)^3*(x-y)^2*((3*x-3*y)*(x+y))^(1/2)ok?再问:可不可以写清楚点

如果x>y>0,x的x次方乘以y的y次方分之x的y次方乘以y的x次方等于

(x^y×y^y)/(x^x×y^y)=x^(y-x)×y^(x-y)因为x>y>0原式=x^-(x-y)×y^(x-y)=[y^(x-y)]/[x^(x-y)]=(y/x)^(x-y)

x的3次方-y的3次方的因式分解

x³-y³=x³-x²y+x²y-xy²+xy²-y³=x²(x-y)+xy(x-y)+y²(x-y

{(z+y)(x-y)-(x-y)的2次方+2y(x-y)}除以4y

(x-y)(z+y-x+y+2y)÷4y=(x-y)(z-x+4y)÷4y{(x+y)(x-y)-(x-y)的2次方+2y(x-y)}除以4y=(x-y)(x+y-x+y+2y)÷4y=(x-y)(4

(x-y)的3次方乘(x-y)的2次方乘(y-x)

解题思路:本题目主要考查指数的运算,其中的关键是通过提取负号把y-x转化成-(x-y)解题过程:

(x-y)的平方除以(x-y)的6次方

(x-y)的平方除以(x-y)的6次方=1/(x-y)的4次方

(x的n次方+y的n次方)(x的n次方-y的n次方)-(x的n次方+y的n次方)²

1、(x的n次方+y的n次方)(x的n次方-y的n次方)-(x的n次方+y的n次方)²=(x^n+y^n)(x^n-y^n)-(x^n+y^n)^2=(x^n)^2-(y^n)^2-[x^(

(1) (X-Y)(X-Y)的4次方(Y-X)的5次方

(1)(X-Y)(X-Y)的4次方(Y-X)的5次方=(x-y)^5*(-(x-y)^5)=-(x-y)^10(2)(-2)的2010次方+(-2)的2011次方(-2)^2010+(-2)^2011

x的4次方+x的2次方y的2次方+y的4次方

解原式=(x^2+y^2)-(xy)^2=(x^2+xy+y^2)(x^2-xy+y^2)

2y(x-y)的2次方-4y的2次方(y-x)的3次方

原式=2y(x-y)²+4y²(x-y)³=2y(x-y)²[1+2y(x-y)]=2y(x-y)²(2xy-2y²+1)原式=(m-n)&

y(x-y)的平方-(y-x)的3次方

x(x-y)²-(y-x)³=x(x-y)²+(x-y)³=(x-y)²[x+(x-y)]=(x-y)²(2x-y)

因式分解(x-y)的平方-(y-x)的3次方

因式分解(x-y)的平方-(y-x)的3次方(x-y)的平方-(y-x)的3次方=(x-y)^2+(x-y)^3=(x-y)^2(x-y+1)

(x+3y)(x-3y)(x的2次方-9y的2次方)

(x+3y)(x-3y)(x²-9y²)=(x²-9y²)(x²-9y²)=(x²-9y²)²=x^4-18x

(x 的3次方)-(xyz)+(x的2次方y)-(x的2次方z)

x³-xyz+x²y-x²z=(x³+x²y)-(xyz+x²z)=x²(x+y)-xz(y+x)=x(x+y)(x+z).

分解下列因式(x-y)x的6次方+(y-x)y的6次方

[(x-y)x]6+[(y-x)y]6=(x-y)6x6+(y-x)6y6=(x-y)6(x6+y6)=(x-y)6[(x2)3+(y2)3]=(x-y)6(x2+y2)(x4-x2y2+y4)欢迎来

2的X次方等于20,X怎么算,笔算和计算器都是怎么算的

按照我们中学学习的知识笔算算不出除非你使用对数计算尺用计算机的话就是用lg20/lg2就可以得到结果2^x=20将等式两边求以十为底的对数xlg2=lg20x就是我上面列出的式子

(25x的2次方y的3次方z-10x的3次方y的2次方)÷(5x的2次方y)× y

^表示次方(25x的2次方y的3次方z-10x的3次方y的2次方)÷(5x的2次方y)×y=(25x^2y^3z-10x^3y^2)÷(5x^2y)×y=(25÷5)x^(2-2)y^(3-1+1)z

(x—y)的2次方×(x—y)的5次方×(y-x)=()

(x—y)的2次方×(x—y)的5次方×(y-x)=-(x-y)的2次方×(x-y)的5次方×(x-y)=-(x-y)的(2+5+1)次方=-(x-y)的8次方