[X-Y]的2n次方×[Y-X]的2n+1次方×[Y-X]

答：（x-y）的2N次方-（x-y）的2n+1次方+（y-x）的2n-1次方=(x-y)^(2n)-(x-y)^(2n+1)-(x-y)^(2n-1)=[(x-y)-(x-y)^2-1]*(x-y)^

1.(x-3y)^(2n)-3(x-3y)^(2n+1)-2(3y-x)^(2n)+(3y-x)^(2n+1)=(x-3y)^(2n)-2(3y-x)^(2n)+(3y-x)^(2n+1)-3(x-3

x^(m-n)*x^(2n+1)=x^11.(m-n)+(2n+1)=11.m+n=10y^(m-1)*y^(4-n)=y^5.(m-1)+(4-n)=5.m-n=2(m+n)(m-n)=20m=6n

x^(6n)+y^(4n)=[x^(3n)]^2+[y^(2n)]^2=5×5+4×4=25+16=41

5m(x-y)²+10n(y-x)³=5m(x-y)²-10n(x-y)³=5(x-y)²[m-2n(x-y)]=5(x-y)²(m-2nx

【6x的n次方y的m次方(x的平方-3xy)-(-3x的n次方y的m次方)的2次方]除以3x的n次方y的m-n次方=[6x的(n+2)次方y的m次方-18x的(n+1)次方y的(m+1)次方-9x的2

(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

（-y²/x）的2n次方=y^4n/x^2n

原式=（x+y-z)^3n(x+y-z)^2n(x-y-z)^5n=(x+y-z)^5n(x-y-z)^5n=[（x-z)^2-y^2]^5n^后面的是上标~

[x^(2n)-y^(2n)]/[x^(n)+y^(n)]=(x^n-y^n)*(x^n+y^n)/(x^n+y^n)=x^n-y^n

5m(x-y)^2+10n^2（y-x)^3=5(x-y)^2（m+2n^y-2n^x)那个^2是指……的2次方

（m+n)x^ny^(m-2)（3xy^2+5x^2y)=21x^my^(n+1)+35x^(m+1)y^n=7x^(m-1)y^(n-1)(3xy^2+5x^2y)m+n=7n=m-1m-2=n-1

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^(

X的6n次方=（X的3n次方）²=25Y的4n次方=（Y的2n次方）²=9

你要化简的应该是以下表达式吧：[(x^n)·y]·{[x^(n-1)]·(y^2)}·{[x^(n-2)]·(y^3)}·……·{(x^3)·[y^(n-2)]}·{(x^2)·[y^(n-1)]}·

x^(n-m)*x^(2n+1)=x^11==>(n-m)+(2n+1)=11(1)y^(m-1)*y^(4-n)=y^5==>(m-1)+(4-n)=5(2)由（1）、（2）式解方程组得m=8,n=

(X-3Y)的2n次方减3（X-3Y)的2n+1次方减2（3Y-X)的2n次方加（3Y-X）的2n+1次方的值,其中N为正整数,且X=2,Y=1=-(x-y)的2n次方-4(x-3y)的2n+1次方=

解(y-x)³(x-y)^n+2(x-y)^(n+1)(y-x)²=-(x-y)³(x-y)^n+2(x-y)^(n+1)(x-y)²=-(x-y)^(n+3)

分两种情况：1.n为奇数时a(x-y)的n次方-3b(y-x)的n+1次方+2c(y-x)的n+2=a(x-y)^n－3b(x－y)^(n＋1)－2c(x－y)^(n＋2)=(x-y)^n*[a－3b

=y^3/X*1/2y=y^2/2x