riyahl22229
riyahl22229 riyahl22229
  • 06-04-2020
  • Mathematics
contestada

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

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 11-04-2020

Answer:

[tex]6 {b}^{3} (2 {b}^{2} + 3b - 5)[/tex]

Step-by-step explanation:

The given expresion is

[tex] {12b}^{5} + 18 {b}^{4} - 30 {b}^{3} [/tex]

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:

[tex]6 {b}^{3} (2 {b}^{2} + 3b - 5)[/tex]

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