分解因式x^3+x^2y-xy^2-xz^2+yz^2-y^3快

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分解因式x^3+x^2y-xy^2-xz^2+yz^2-y^3快分解因式x^3+x^2y-xy^2-xz^2+yz^2-y^3快分解因式x^3+x^2y-xy^2-xz^2+yz^2-y^3快=(x^

分解因式x^3+x^2y-xy^2-xz^2+yz^2-y^3快
分解因式x^3+x^2y-xy^2-xz^2+yz^2-y^3
快

分解因式x^3+x^2y-xy^2-xz^2+yz^2-y^3快
=(x^3-y^3)+(x^2y-xy^2)+(-xz^2+yz^2)
=(x-y)(x^2+xy+y^2)+xy(x-y)-z^2(x-y)
=(x-y)(x^2+xy+y^2+xy-z^2)
=(x-y)(x^2+2xy+y^2-z^2)
=(x-y)[(x+y)^2-z^2]
=(x-y)(x+y+z)(x+y-z)

x^3+x^2y-xy^2-xz^2+yz^2-y^3
=(x-y)(x^2+y^2+xy)+xy(x-y)-z^2(x-y)
=(x-y)(x^2+y^2+xy+xy-z^2)
=(x-y)<(x+y)^2-z^2>
=(x-y)(x+y-z)(x+y+z)

过程（X^3-Y^3）+XY(X-Y)-Z^2(X-Y)
答案（X-Y）(X^2+Y^2+2XY-Z^2)=(X-Y)(X+Y+Z)(X+Y-Z)

(x-y)(x+y+z)(x+y-z)

分解因式:x^2-xy+xz-yz 分解因式x^2-yz+xz-xy -x^2+xy-xz分解因式分解因式x^3+x^2y-xy^2-xz^2+yz^2-y^3快分解因式x^2-xy+xz-yz= 分解因式x^2+3xy-10y^2-x+9y-26x^2-15y^2-6z^2-xy-5xz+21yz 分解因式 —2x+xy—xz 2(x—y)的平方—x(x—y) xy-xz+y-z分解因式还有下面的全部都是分解因式4xy-3xz+8y-6za平方-x平方-2x-2a1-m的平方-n的平方+2mn 分解因式 XY-XZ=Y-Z X的平方-2XY=Y的平方-9 分解因式x^2y-xy^2+x^2z-xz^2-2xyz+y^2z+yz^2 分解因式x²-xy+xz-yz 分解下列因式：6（2a+b)(2a-3b)-3(b+2a) -x^2+xy-xz x^2y+xy^2谁快谁获最佳. (2x-2y)-3xy(y-x)分解因式 x^2-xy^2+x^2z-xz^2-2xyz+y^2z+yz^2分解因式 x+3xy+3xy+2y分解因式 x^2-xy+y^2 分解因式分解因式：-x-2xy-y² 分解因式:x^3-2x^2y+xy^2