在复数范围内因式分解x四次方-y四次方=
问题描述:
在复数范围内因式分解x四次方-y四次方=
大侠帮我,最好有过程.
答
x^4-y^4
=(x²-y²)(x²+y²)
=(x+y)(x-y)(x²+y²)
=(x+y)(x-y)(x+iy)(x-iy)