因式分解x^8-7x^4y^2+y^4

问题描述:

因式分解x^8-7x^4y^2+y^4

x^8-7x^4y^2+y^4
=x^8+2x^4y^2+y^4-9x^4y^2
=(x^4+y²)²-(3x²y)²
=(x^4+y²-3x²y)(x^4+y²+3x²y)