Question

factor $3t^{3}+18t^{2}+27t$ completely.

Explanation:

Step1: Factor out GCF

$3t^3 + 18t^2 + 27t = 3t(t^2 + 6t + 9)$

Step2: Factor quadratic trinomial

$t^2 + 6t + 9 = (t + 3)^2$

Step3: Combine factors

$3t(t + 3)^2$

Answer:

$3t(t + 3)^2$