因式分解x3y3-x2y2-xy+1

2024-12-14 09:18:51
推荐回答(3个)
回答1:

xy(x²y²-1)-(x²y²-1)
=(x²y²-1)(xy-1)

回答2:

x3y3-x2y2-xy+1
=x^2y^2(xy-1)-(xy-1)
=(x^2y^2-1)(xy-1)
=(xy+1)(xy-1)^2

回答3:

x3y3-x2y2-xy+1

= x^2y^2(xy - 1) - (xy - 1)

= (xy - 1)(x^2y^2 - 1)

= (xy - 1)^2(x y + 1)