x^5+x^4y-2x^3y^2-x^2y^3-xy^4+2y^5分解因式

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x^5+x^4y-2x^3y^2-x^2y^3-xy^4+2y^5分解因式
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x^5+x^4y-2x^3y^2-x^2y^3-xy^4+2y^5分解因式
x^5+x^4y-2x^3y^2-x^2y^3-xy^4+2y^5
分解因式

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

解原式=x^3(x^2+xy-2y^2)-y^3(x^2+xy-2y^2)
=(x^2+xy-2y^2)(x^3-y^3)
=(x+2y)(x-y)(x-y)(x^2+xy+y^2)
=(x+2y)(x-y)^2(x^2+xy+y^2)

因式分解(x-2y)(x-3y)+(x-4y)(x-5y)+（x-3y)(x-5y)+(x-2y)(x-4y) (2x-y)(3x-4y)-2(x-y)(2x-5y)简便运算 5/4(x+y)(-x-y)^3*[-4/3(x-y)]*[-3/5(y-x)^2] 3(x+y)+2(x-y)=36 4(x+y)-5(x-y)=2 5x^3y(x-y)^3-10x^4y^3(y-x)^2因式分解 5x^3y(x-y)^3-10x^4y^3(y-x)^2 5X^3Y(X-Y)-10X^4Y^3(Y-X)^2因式分解 4(x-y)-3(x-y)=9 5(x-y)+2(x-y)=11 3(x+y)-4(x-y)=11,2(x-y)+5(x+y)=27 （x-y）^3×（y-x）^4+（x-y）^2×（y-x）^5 x(x-y)2-(y-x)3 先化简再求值(x-y)(x-2y)+(x-2y)(x-3y)-2(x-3y)(x-4y) x=4 y=5 计算(x^8-x^7y+x^5y^3-x^4y^4+x^3y^5-x^y^7+y^8)(x^2+xy+y^2) 化简:5(x-y)+2(x+y)-3(x-y) [2/3x-2/x+y(x+y/3x-x-y)]/x-y/x 化简：{2/3x-2/(x+y)[(x+y)/3x-x-y]}/(x+y)/x 计算2/3x-2/x+y(x+y/3x-x-y)/x-y/x 化简3x-2/(x+y)[(x+y)/3x-x-y]÷(x-y)/x