因式分解:x^2+5y^2 (在复数范围内)

问题描述:

因式分解:x^2+5y^2 (在复数范围内)

x^2+5y^2
=(x-√5iy)(x+√5iy)

x^2+5y^2
=(x+√5yi)(x-√5yi)

x²+5y²
=x²-5i²y²
=(x-√5iy)(x+√5iy)