(x-y)的4次方 x(x-y)的3次方 y(y-x)3次方

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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

(x-y)的2次方-2(x-y)+(x-y)-5(x-y)

(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

因式分解:x的5次方-2x³y²+x*y的4次方

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

{(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分之2x的平方乘以x+y分之y)-(x的4次方-y的4次方分之x的4次方y除以(x的平方+y的平方分之x的平方)

原式=[2x/(x-y)]*[y/(x+y)]-[x^4/(x^4-y^4)]/[x^2/(x^2+y^2)]^2=2xy/(x^2-y^2)-(x^2+y^2)^2/[(x^2+y^2)(x^2-y

计算:x-y分之x×x+y分之y的平方-x的4次方-y的4次方分之x的4次方y除以x的平方+y的平方分之x的平方

计算:x-y分之x×x+y分之y的平方-x的4次方-y的4次方分之x的4次方y除以x的平方+y的平方分之x的平方=x/x-y分之x×y^2/x+y-x^4y/(x^4-y^4)*(x^2+y^2)/x

16(x-y)(x-y)-25(x+y)(x+y)=?x的4次方+4乘y的4次方=?因式分解,

16(x-y)(x-y)-25(x+y)(x+y)=[4(x-y)]²-[5(x+y)]²=(4x-4y+5x+5y)(4x-4y-5x-5y)=(9x+y)(﹣x-9y)=﹣(9

x(x+y)-(x-y)(x+y)-y^2,其中x=(1/4)的2010次方,y=4的2011次方

原式=(x+y)(x-x+y)-y^2=y(x+y)-y^2=y(x+y-y)=yx=4^2011×(1/4)^2010=(4×1/4)^2010×4=4

(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)

已知x的2次方+y的2次方+13=6x-4y 求(2x-y)的2次方-2(2x-y)(x+2y)+(x+2y)的2次方的

因为x^2+y^2+13=6x-4y即有x^2-6x+9+y^2+4y+4=0即(x-3)^2+(y+2)^2=0故有:x=3y=-2因此(2x-y)^2-2(2x-y)(x+2y)+(x+2y)^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)

4y(y-x)的2次方-6y(x-y)三次方 因式分解

4y(y-x)的2次方-6y(x-y)三次方=4y(x-y)²-6y(x-y)³=2y(x-y)²(2-3x+3y)【提取公因式2y(x-y)²】

(-x+2y)(x的4次方+4x的2次方y的2次方+16y的4次方)(x+2y) ,求因式分解

(-x+2y)(x的4次方+4x的2次方y的2次方+16y的4次方)(x+2y),求因式分解=(-x+2y)(x²+4y²)²(x+2y)=(4y²-x

计算(x的4次方+y的4次方)(x的2次方+y的2次方)(x+y)(x-y)

你好!主要考察完全平方公式原式=(x^4+y^4)(x^2+y^2)(x^2--y^2)=(x^4+y^4)(x^4--y^4)=x^8--y^8不懂可以继续追问,望采纳,谢谢!

3x的4次方y-y的3次方x+2x的2次方y的4次方-3x的3次方y的2次方,按x的降幂排列,再按y的升幂排列

3x^4y-y^3x+2x^2y^4-3x^3y^2按x的降幂排列:3x^4y-3x^3y^2+2x^2y^4-y^3x按y的升幂排列:3x^4y-3x^3y^2-y^3x+2x^2y^4