x^2y^2(xy+4)-2xy(x^2+y^2)因式分解

2025-02-24 20:38:10
推荐回答(2个)
回答1:

x²y²(xy+4)-2xy(x²+y²)
=xy【xy(xy+4)-2(x²+y²)】
=xy【x²y²-2x²-2y²+4】
=xy【x²(y²-2)-2(y²-2)】
= xy(x²-2)(y²-2)
= xy(x+√2)(x-√2)(y+√2)(y-√2)

回答2:

xy (xy-(根号2 x+根号2 y)) (xy+(根号2 x+根号2 y))