因式分解x^5y^2-x^3-3xy+3
问题描述:
因式分解x^5y^2-x^3-3xy+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)