Question

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

Answer 1

`y^2(y+1)(y+sqrt5)(y-sqrt5)`.

Explanation:

The expression`=y^5+y^4-5y^3-5y^2`

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

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

`=y^2(y+1)(y^2-5)`

`=y^2(y+1)(y+sqrt5)(y-sqrt5)`.