因式分解:(x+y+z)3-x3-y3-z3 " /> 因式分解:(x+y+z)3-x3-y3-z3 相关知识点: 整式乘除和因式分解 因式分解 特殊分解方法 添拆项法 添拆项法与公式法、分组分解法 试题来源: 解析 (x+y+z)³-x³-y³-z³=(y+z)[(x+y+z)²+x(x+y+z)+x²]-(y+z)(y²-yz+z²...
(x+y+z)^3-x^3-y^3-z^3=3yx^2+3xy^2+3xz^2+3yz^2+3zx^2+3zy^2+6xyz=3xy(x+y)+3z^2(x+y)+3z(x^2+y^2+2xy)=3xy(x+y)+3z^2(x+y)+3z(x+y)^2=3(x+y)[xy+z^2+z(x+y)]=3(x+y)[x(y+z)+z(y+z)]=3(x+y)(x+z)(y+z)
(x+y+z)^3-x^3-y^3-z^3=(x+y+z)^3-x^3-(y^3+z^3)=(x+y+z-x)[(x+y+z)^2+x(x+y+z)+x^2]-(y+z)(y^2-yz+z^2)=(y+z)(x^2+y^2+z^2+2xy+2yz+2xz+x^2+xy+xz+x^2-y^2+yz-z^2)=(y+z)(3x^2+3xy+3yz+3xz)=3(y+z)[x(x+y)+z(x+y)]=3(y+...
a^3 + b^3 = (a + b)(a^2 - ab + b^2)a^3 - b^3 = (a - b)(a^2 + ab + b^2)(x+y+z)^3 -x^3 - y^3 - z^3 =(y+z)[(x+y+z)^2 + (x+y+z)x +x^2] - (y+z)(y^2 - yz +z^2)=(y+z)(3x^2 + y^2 + z^2 + 3xy + 3xz + 2yz...
有matlab 那就方便了。如果笔算，那就把原式拆成三个多项式相乘，先算两个，然后再算两个多项式就可以了。结果是 3*x^2*y+3*x^2*z+3*x*y^2+6*x*y*z+3*x*z^2+3*y^2*z+3*y*z^2
xyz(x³+y³+z³)-x³y³-y³z³-z³x³=x^4yz+xyz(y³+z³)-y³z³-x³(y³+z³)=yz(x^4-y²z²)+x(yz-x²)(y³+z³)=yz(x²+yz)(x²-...
du=d(x^y/z) =(y/z-1)(x^y/z) dx+(x^y/z)lnxd (y/z) =(y/z-1)(x^y/z) dx+(x^y/z)lnx· (zdy-ydz)/z² =(y/z-1)(x^y/z) dx+(x^y/z)lnx· 1/zdy-(x^y/z)lnx·y/z² dz 即 au/ax=(y/z-1)(x^y/z) au/ay=(x^y/z)lnx· 1/...
回答：方法如下图所示,请认真查看,祝学习愉快:
z=x³y-3x²y³z'x=3x²y-6xy³z'y=x³-9x²y²z''xx=6xy-6y³z''xy=3x²-18xy²z''yy=-18x²y z''yx=3x²-18xy²
解：x²-y²-z²=0 y²=x²-z²，z²=x²-y²x³-y³-z³=(x³-y³)-z(x²-y²)=(x-y)(x²+xy+y²)-z(x+y)(x-y)=(x-y)(x²+xy+y²-zx-zy)=(x-y)...