x+y+z=m xy+yz+xz=n xyz=p 用含mnp的代数式表示(x+3)(y+3)(z+3)
问题描述:
x+y+z=m xy+yz+xz=n xyz=p 用含mnp的代数式表示(x+3)(y+3)(z+3)
答
(x+3)(y+3)(x+3)
=(xy+3x+3y+9)(z+3)
=xyz+3xy+3xz+9x+3yz+9y+9z+27
=xyz+3(xy+yz+zx)+9(x+y+z)+27=9m+3n+p+27