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Factor the polynomial by its greatest common monomial factor.

9m^(3)-27 m=

Factor the polynomial by its greatest common monomial factor.\newline9m327m= 9 m^{3}-27 m=

Full solution

Q. Factor the polynomial by its greatest common monomial factor.\newline9m327m= 9 m^{3}-27 m=
  1. Identify GCF: Step Title: Identify the Greatest Common Monomial Factor\newlineConcise Step Description: Determine the greatest common factor (GCF) that can be factored out from both terms of the polynomial.\newlineStep Calculation: The GCF of 9m39m^3 and 27m27m is 9m9m, since 99 is the highest number that divides both 99 and 2727, and mm is the highest power of mm that is present in both terms.
  2. Factor Out GCF: Step Title: Factor Out the GCF\newlineConcise Step Description: Factor out the GCF from each term of the polynomial.\newlineStep Calculation: Factoring out 9m9m from each term gives us 9m(m23)9m(m^2 - 3).