x^3-4xy^2-2x^2y+8y 因式分解

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x^3-4xy^2-2x^2y+8y 因式分解
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x^3-4xy^2-2x^2y+8y 因式分解
x^3-4xy^2-2x^2y+8y 因式分解

x^3-4xy^2-2x^2y+8y 因式分解
题目有错?
x^3-4xy^2-2x^2y+8y?x^3-4xy^2-2x^2y+8y^3?
(x+2y)^3=x^3+6x^2y+12xy^2+8y^3,
x^3-4xy^2-2x^2y+8y^3=(x+2y)^3-8x^2y-16xy^2=(x+2y)^3-8xy(x+2y)=(x+2y)[(x+2y)^2-8xy]
=(x+2y)(x-2y)^2

=x^3-4xy^2+8y^3-4xy^2
=x^2(x-2y)+4y^2(2y-x)
=x^2(x-2y)-4y^2(2y-x)
=(x^2-4y^2)(2y-x)
=(x+2y)(x-2y)(2y-x)

化简：3x^2-[5xy-(x^y-3xy)+4x^2y-8xy] 因式分解:12xy^2(y-x)+xy^3(x-y)+4x^2y(x-y) 6x^2-xy-2y^2-4x+5y-2因试分解 分解因试..X平方-2XY-8Y平方-X-14Y-6 因式分解 x-xy+3y-3x 2x+xy-y-4x+5y-6 诺x+y=6,xy=4 求(5x-4y-3xy)-(8x-y+2xy) 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) 求三道因试分解的题X³Y-2X²Y²+XY³ X²-4（X-1） 4X²-8X+4 化简2(x²y+xy)-3(x²y-xy)-4x²y 计算：（1）8x^2y^2*(-3x/4y^5) (2)(x+y)^2/xy-y^2*(y-x)^2/xy+y^2 x平方-2xy-3y平方+8y-4 （-3x^y+2xy)-( )=4x^+xy x²/xy-x/y 3x/4x+y - x-2y/4x+y (1-y/y+x)÷x/y²-x² x*x-xy=-3,2xy-y*y=-8,求2x*x-4xy+y*y的值 3(x-y)²-7(x-y)+8(x-y)²+6(x-y)求详细过程（2） 5xy-4x²y-8xy²+3xy-xy²+4x²y (x-y-x+y/4y^2)(x+y-x+y/4x^2)/(3(x+y)-x-y/8xy)拜托各位大神(x-y-x+y/4y^2)(x+y-x+y/4x^2)/(3(x+y)-x-y/8xy)详细, （12x^2y-8xy^2+16xy）/-3x+2y-4=? (12x^2y-8xy^2+16xy）/-3x+2y-4=?