分解因式xy^3 + y^2 +y-x+1
问题描述:
分解因式xy^3 + y^2 +y-x+1
答
xy^3 + y^2 +y-x+1
=x(y³-1)+(y²+y+1)
=x(y-1)(y²+y+1)+(y²+y+1)
=(y²+y+1)(xy-x+1)