How do you factor y^5+y^4-5y^3-5y^2y5+y45y35y2?

1 Answer
Aug 14, 2016

y^2(y+1)(y+sqrt5)(y-sqrt5)y2(y+1)(y+5)(y5).

Explanation:

The expression=y^5+y^4-5y^3-5y^2=y5+y45y35y2

=y^4(y+1)-5y^2(y+1)=y4(y+1)5y2(y+1)

=(y+1)(y^4-5y^2)=(y+1)(y45y2)

=y^2(y+1)(y^2-5)=y2(y+1)(y25)

=y^2(y+1)(y+sqrt5)(y-sqrt5)=y2(y+1)(y+5)(y5).