#### Answer

72$x^{3}$+54$x^{2}$+27=9(8$x^{3}$+6$x^{2}$+3)

#### Work Step by Step

In order to factor 72$x^{3}$+54$x^{2}$+27 we will look for the greatest factor that exists in each term, and factor out what's known as the GCF (Greatest common factor). In this case, the GCF is 9, because it's the greatest factor that factors out of all three terms.
After we factor out the 9, we'll leave in parentheses whatever multiplies to the corresponding term in the original equation. For example, for the first term, after we factor out the 9, we'll leave a 8$x^{3}$ because 9 multiplied by 8$x^{3}$ equals 72$x^{3}$. We'll end up rewriting the polynomial as
9(8$x^{3}$+6$x^{2}$+3)