(y-x).(x-y)的2次方.(y-x)的4次方-搜答案-智慧作业帮

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

(x-y)的2次方-2(x-y)+(x-y)-5(x-y)=(x-y)²-2(x-y)+(x-y)-5(x-y)=(x-y)²-(x-y)-5(x-y)=(x-y)²-6

x^5-2x^3y^2+xy^4=x(x^4-2x^2y^2+y^4)=x(x^2-y^2)^2=x(x+y)^2(x-y)^2

x+9y=y-3x4x=-8yx=-2y则x²=4y²所以原式=(4y²-y²)/(4y²+y²)=3y²/5y²=3/

(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

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

y(x+y)+(x+y)(x-y)-x的2次方,其中X=-2,y=2分之一y(x+y)+(x+y)(x-y)-x的2次方=(x+y)(y+x-y)-x=x(x+y)-x=x(x+y-1)=-2*(-2

(x-y）的3次方乘（y-x）的2次方乘（y-x）的5次方=(x-y）的3次方乘（x-y）的2次方乘（y-x）的5次方=（x-y）的5次方乘（y-x）的5次方=-（x-y）的10次方

6（x-y)的3次方+15（y-x）的2次方-9（y-x)的3次方=6（x-y)的3次方+15（x-y）的2次方+9（x-y)的3次方=15（x-y)的3次方+15（x-y）的2次方=15(x-y)的

原式=[(x-y)(x-y)+(x+y)(x-y)]/2x=(x-y)(x-y+x+y)/2x=(x-y)·2x/2x=x-y=3-1.5=1.5

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

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)&

-(x+y)的10次方÷（x+y)的7次方÷（x+y)的2次方=-（x+y）^(10-7-2)=-(x+y)

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)

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

^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)的平方+2*4(x+y)+4的平方(x+y)=(x+y+4)的平方

【(x-y)的3次方-8(x-y)的2次方(x+y)+6y(x-y)的平方】/2(x-y)的平方=(x-y)²[x-y-8(x+y)+6y]/2(x-y)²=1/2（x-y-8x-

(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