Answer
LCM = $x^{2}(x+2)^{3}$
Work Step by Step
Step 1:
Factor each polynomial completely.
$x^{2}+4x+4=$... recognize perfect square
$=(x+2)^{2}$
$x^{3}+2x^{2}=x^{2}(x+2)$
$(x+2)^{3}$ is factored
Step 2:
The LCM is the product of each of these factors raised to a power equal to the greatest number of times that the factor occurs in the polynomials.
LCM = $x^{2}(x+2)^{3}$
