WEBVTT 00:00:00.006 --> 00:00:05.596 The LCD would be x squared times x plus 2. Remember we want the highest power of 00:00:05.596 --> 00:00:10.472 any factor that appears in a denominator. So we know x is already a factor of x 00:00:10.472 --> 00:00:17.180 squared, so we should use x squared. And X plus two for our LCD. Another way to 00:00:17.180 --> 00:00:21.590 think about this, is to use our factor tree method to find the LCD of X squared 00:00:21.590 --> 00:00:26.861 and X plus two. We use X squared here, since we know X is already a factor of X 00:00:26.861 --> 00:00:32.215 squared. Now don't make the mistake of putting X as the common factor here. X 00:00:32.215 --> 00:00:37.986 plus two is one factor. Wgereas X squared has the factors of X and X. The only 00:00:37.986 --> 00:00:44.168 common factor for X squared and the quantity X plus two is one. This also makes 00:00:44.168 --> 00:00:50.385 sense because this X is a term inside this factor. So our LCD is X squared times 00:00:50.385 --> 00:00:53.653 one times the quantity X plus two.