x^5+3x^4y-5x^3y^2-15x^2y^3+4xy^4+12y^5 分解因式

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x^5+3x^4y-5x^3y^2-15x^2y^3+4xy^4+12y^5 分解因式
x^5+3x^4y-5x^3y^2-15x^2y^3+4xy^4+12y^5 分解因式

x^5+3x^4y-5x^3y^2-15x^2y^3+4xy^4+12y^5 分解因式
x^5+3x^4y-5x^3y^2-15x^2y^3+4xy^4+12y^5
=x^5-5x^3y^2+4xy^4+12y^5-15x^2y^3+3x^4y
=x(x^4-5x^2y^2+4y^4)+3y(x^4-5x^2y^2+4y^4)
=(x+3y)(x^4-5x^2y^2+4y^4)
=(x+3y)(x^2-4y^2)(x^2-y^2)
=(x+3y)(x-2y)(x+2y)(x+y)(x-y)

因式分解(x-2y)(x-3y)+(x-4y)(x-5y)+（x-3y)(x-5y)+(x-2y)(x-4y) 5/4(x+y)(-x-y)^3*[-4/3(x-y)]*[-3/5(y-x)^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 (2x-y)(3x-4y)-2(x-y)(2x-5y)简便运算 3(x+y)+2(x-y)=36 4(x+y)-5(x-y)=2 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 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) 先化简再求值(x-y)(x-2y)+(x-2y)(x-3y)-2(x-3y)(x-4y) x=4 y=5 化简:5(x-y)+2(x+y)-3(x-y) 3(x-y)-2(x+y)-5(x-y)+4(x+y)+3(x-y) 化简合并同类项已知x-y/x+y=3,求代数式5(x-y)/x+y-x+y/2(x-y) (2x-3y)-(5x-y) (2X-3y)-(5x-y) (2x-5y)(3x+y)