把x( 3)-4xy( 2)-2x( 2)y+8y( 3)因式分解,写出具体过程.

来源：学生作业帮助网编辑：六六作业网时间：2024/11/17 00:56:44

把x(3)-4xy(2)-2x(2)y+8y(3)因式分解,写出具体过程.把x(3)-4xy(2)-2x(2)y+8y(3)因式分解,写出具体过程.把x(3)-4xy(2)-2x(2)y+8y(3)因

把x( 3)-4xy( 2)-2x( 2)y+8y( 3)因式分解,写出具体过程.
把x( 3)-4xy( 2)-2x( 2)y+8y( 3)因式分解,写出具体过程.

把x( 3)-4xy( 2)-2x( 2)y+8y( 3)因式分解,写出具体过程.
x^3-4xy^2-2x^2y+8y^3
=x(x^2-4y^2)-2y(x^2-4y^2)
=(x-2y)(x^2-4y^2)
=(x-2y)(x+2y)(x-2y)
=(x+2y)(x-2y)^2

x^3-4xy^2-2x^2y+8y^3=(x^3+8y^3)-2xy(x+2y)=(x+2y)(x^2+2xy+4y^2)-2xy(x+2y)=(x+2y)(x^2+4y^2)
注:x^3+8y^3用立方和公式分解

原式=x(x^2-4y^2)-2y(x^2-4y^2)
=(x-2y)(x^2-4y^2)
=(x-2y)(x+2y)(x-2y)
=(x+2y)(x-2y)^2

把2x-2y+3xy(x-y)因式分解 3xy(x^2-xy^2+xy)-xy^2(2x^2-xy+2x) -3(2x^2-xy)+4(x^2+xy-6) （-3x^y+2xy)-( )=4x^+xy 4(x²+xy-6)-3(2x²-xy) -3(2x²-xy)+4(x²+xy-6) 化简：3x^2-[5xy-(x^y-3xy)+4x^2y-8xy] xy-2{xy-[3x^2y-(4xy^2+0.5xy)]+4x^2y}+6xy^2 （X-3xy+4xy-y）-[-2x-2（xy-3/2xy）-y]+6xy的过程因式分解:12xy^2(y-x)+xy^3(x-y)+4x^2y(x-y) 因式分解 x-xy+3y-3x 2x+xy-y-4x+5y-6 因式分解X^3-2xy+xy^2 把x( 3)-4xy( 2)-2x( 2)y+8y( 3)因式分解把多项式x^3-4x^2y+4xy^2分解因式,结果为? 把多项式2x²+xy-3y²+x+4y-1分解因式把3x^2+12xy+11y^2因式分解 x^3y(-4y)^2+(-7xy)^2*(-xy)-5xy^3*(-3x)^2 5x^3y*(-3y)^2+(-6xy)^2*(-xy)+xy^3*(-4x^2)