因式分解x2(x+y+z)+xyz
问题描述:
因式分解x2(x+y+z)+xyz
答
x²(x+y+z)+xyz
=x³+x²y+x²z+xyz
=x²(x+y)+xz(x+y)
=(x²+xz)(x+y)
=x(x+z)(x+y)