x³-8y³-z³-6xyz因式分解还有：a²+b²+c²-2bc+2ca-2ab(x+1)^4+(x^2-1)^2+(x_1)^4

来源：学生作业帮助网编辑：作业帮时间：2024/05/09 18:30:20

x³-8y³-z³-6xyz因式分解还有：a²+b²+c²-2bc+2ca-2ab(x+1)^4+(x^2-1)^2+(x_1)^4
x³-8y³-z³-6xyz
因式分解
还有：a²+b²+c²-2bc+2ca-2ab
(x+1)^4+(x^2-1)^2+(x_1)^4

x³-8y³-z³-6xyz因式分解还有：a²+b²+c²-2bc+2ca-2ab(x+1)^4+(x^2-1)^2+(x_1)^4
x^3+y^3+z^3-3xyz
= (x+y)(x^2+y^2-xy)+z^3-3xyz
= (x+y)[(x+y)^2-3xy]+z^3-3xyz
= (x+y)^3-3xy(x+y)+z^3-3xyz
= (x+y)^3+z^3-3xy(x+y)-3xyz
= (x+y+z)[(x+y)^2+z^2-z(x+y)]-[3xy(x+y)+3xyz]
= (x+y+z)(x^2+y^2+2xy+z^2-xz-yz)-3xy(x+y+z)
= (x+y+z)(x^2+y^2+z^2-xy-xz-yz)
把上面的y换成-2y,z换成-z
得
x³-8y³-z³-6xyz
=(x-2y-z)(x^2+4y^2+z^2+2xy+xz-2yz)

3(x-1)³y-(1-x)³z （x-y)³+（y-z)³+(z-x)³用立方和公示怎么因式分解因式分解：x³-8y³-z³-6xyz（1）x³-8y³-z³-6xyz（2)a^7-a^5b²+a²b^5-b^7 因式分解：x³+y³ 计算（x-y)³-1 27（x-3)³-8y³计算（x-y)³-1 27（x-3)³-8y³ 已知x+y+z=3,x²+y²+z²=29,x³+y³+z³=45,求xyz的值已知x+y+z=3,x²+y²+z²=19,x³+y³+z³=30,则xyz=? 已知x³+y³-z³=96,xyz=4,x²+y²+z²-xy+xz+yz=12,x+y-z=? （22223³+11112³）÷（22223³+11111³）=?（1999³-2×1999²-1997）÷（1999³+1999²-2000）=?因式分解(x+y+z)²+yz(y+z)+xyz 设1996x³=1997y³=1998z³,xyz>0,且³√1996x²+1997y²+1998z²=√1996+√设1996x³=1997y³=1998z³,xyz>0,且³√1996x²+1997y²+1998z²=³√1996+³√1997+³√1998,求1/x+1/y+ 2003x³=2004y³=2005z³,xyz＞0,且³√2003x²+2004y²+2005z³=³√2003+³√2004+³√2005,求1/x+1/y+1/z 设2007x³=2008y³=2009z³,xyz＞0,且³√2007x²+2008y²+2009z²=³√2007+³√2008+³√2009,求x/1+y/1+z/1的值.（注：³√为立方根）因式分解：X³+9X²+26X+24,bc(b+c)+ca(c-a)-ab(a+b),8x³-(x-y)³-(x+y)³ (x+y)²-（x³+y³)÷（x+y) 立方根数学题设2008x³＝2009y³=2010z³,xyz>0.且³√2008x²+2009y²+2010z²=³√2008+ ³√2009+³√2010.求（1／x）+（1／y）+（1/z） x³-8y³-z³-6xyz因式分解还有：a²+b²+c²-2bc+2ca-2ab(x+1)^4+(x^2-1)^2+(x_1)^4 一道关于立方的因式分解.2x+4y+x³+8y³ 初二两道简单的因式分解(1)x²-y²-z²-2yz(2)a³-6a²b+12ab²-8b³