Question

How do you factor out the negative of the GCF of `-15y ^ { 5} + 30y ^ { 2}`?

Answer 1

`=-15y^2(y^3 -2)`

Explanation:

`-15y^5+30y^2`

`=-15y^2(y^3 -2)`

Note that if a negative factor is divided out of each term, the signs change.

(negative divided by negative is positive)
positive divided by negative is negative)

The process of factorising is the same.

If you distribute `-15y^2` into the bracket, you will get the same expression again.