几个数学因式分解的题
问题描述:
几个数学因式分解的题
1·、(x-y-z)(x-y+z)+(y-z+x)(y+z-x)
2、x^4+8x^2(x+1)+16(x+1)^2
3、4xy-3xz+8y-6z
4、(x+y)^2-4(x+y-1)
5、x^4+4
答
1·、(x-y-z)(x-y+z)+(y-z+x)(y+z-x)=(x-y-z)(x-y+z)-(x-y-z)(x+y-z)=(x-y-z)(x-y+z-x-y+z)=2(x-y-z)(z-y)2、x^4+8x^2(x+1)+16(x+1)^2=[x²+4(x+1)]²=(x²+4x+4)²=(x+2)⁴ 3、4xy-3xz+8y-6...