因式分解x^5y^2-x^3-3xy+3

分类: 作业答案 • 2021-12-20 09:05:28

问题描述：

答

x^5y^2-x^3-3xy+3=x^3(x^2y^2-1)-3(xy-1)
=x^3(xy+1)(xy-1)-3(xy-1)
=(xy-1)[x^3(xy+1)-3]
=(xy-1)(x^4y+x^3-3)

答

x^5y^2-x^3-3xy+3
=x^3(x^2y^2-1)-3(xy-1)
=x^3(xy+1)(xy-1)-3(xy-1)
= (xy-1)(x^4y+x^3-3)