Question

Factor out the greatest common monomial factor. 12b^5 +18b^4 −30b^3

Answer 1

`6 {b}^(3) (2 {b}^(2) + 3b - 5)`

Explanation:

The given expresion is

`{12b}^(5) + 18 {b}^(4) - 30 {b}^(3)`

The greatest common factor is the greatest factor that is common to all the 3 terms.

We can see b³ is common to all the three terms.

Also 6 is common to all the three terms.

Hence the greatest common factor is 6b³

We factor the GCF to obtain:

`6 {b}^(3) (2 {b}^(2) + 3b - 5)`