（x+y+z）³+（3x-2y-3z）³-（4x-y-2z）³分解因式

来源：学生作业帮编辑：搜狗做题网作业帮分类：数学作业时间：2024/08/06 20:49:37

（x+y+z）³+（3x-2y-3z）³-（4x-y-2z）³分解因式
分了他,

(x+y+z)3+(3x-2y-3z)3-(4x-y-2z)3
=(4x-y-2z)[(x+y+z)^2-2(x+y+z)(3x-2y-3z)+(3x-2y-3z)^2]-(4x-y-2z)3
=(4x-y-2z)[(x+y+z)^2-2(x+y+z)(3x-2y-3z)+(3x-2y-3z)^2-(4x-y-2z)^2]
=(4x-y-2z)[(x+y+z)((x+y+z)-(3x-2y-3z))+((3x-2y-3z)-(4x-y-2z))((3x-2y-3z)+(4x-y-2z))]
=(4x-y-2z)[(x+y+z)(-2x+3y+4z)+(-x-y-z)(7x-3y-5z)]
=(4x-y-2z)(x+y+z)[(-2x+3y+4z)-(7x-3y-5z)]
=(4x-y-2z)(x+y+z)(-9x+6y+9z)
=3(4x-y-2z)(x+y+z)(-3x+2y+3z)

（x+y+z）³+（3x-2y-3z）³-（4x-y-2z）³分解因式分解因式（x+y+z）³+（3x-2y-3z）³-（4x-y-2x）³ 分解因式（x+y+z）³+（3x-2y-3z）³-（4x-y-2x）³, 分解因式:(x+y+z)^3+(3x-2y-3z)^3-(4x-y-2z)^3 A=y(x-y)(x-z)+z(x-y)(z-x) 问：（1）将多项式A分解因式（2） x/2=y/3=z/4,求A/（若多项式A=y{x-y}{x-z}+z{x-y}{z-x},：（1）将多项式A分解因式（2） x/2=y/3=z/4,求题目：A=y(x-y)(x-z)+z(x-y)(z-x) 问：（1）将多项式A分解因式（2） x/2=y/3=z/4,求 1.把下列各式分解因式：（1）x³y+3x-2²y²-6y;（2）x²z+x&# 分解因式x^2(y-z)+y^2(z-x)+z^2(x-y) 分解因式:f(x,y,z)=x^2(y-z)+y^2(z-x)+z^2(x-y) 分解因式：x^4+y^4+z^4+1+8xyz-2(y^2z^2+z^2x^2+x^2y^2+x^2+y^2+z^2）已知2x+3y-4z=0,3x+4y+5z=0,求x+y+z/（除以）x-y+z的值.