x∧4+y∧4分解因式

2024-11-22 16:09:39
推荐回答(1个)
回答1:

x^4+y^4
=x^4+y^4+2*x^2*y^2-2*x^2*y^2
=(x^2+y^2)^2-(根号2*xy)^2
=(x^2+y^2-根号2*xy)(x^2+y^2+根号2*xy)