
(z²-x²-y²)-4x²y²如何因式分解(本题是否有错误)
展开全部
题目应该是:
(z²-x²-y²)²-4x²y²
=(z²-x²-y²)²-(2xy)²
=[(z²-x²-y²)+2xy][(z²-x²-y²)-2xy]
=[z²-(x²-2xy+y²)][z²-(x²+2xy+y²)]
=[z²-(x-y)²][z²-(x+y)²]
=(z+x-y)(z-x+y)(z+x+y)(z-x-y)
(z²-x²-y²)²-4x²y²
=(z²-x²-y²)²-(2xy)²
=[(z²-x²-y²)+2xy][(z²-x²-y²)-2xy]
=[z²-(x²-2xy+y²)][z²-(x²+2xy+y²)]
=[z²-(x-y)²][z²-(x+y)²]
=(z+x-y)(z-x+y)(z+x+y)(z-x-y)
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询