1 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 2 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 3 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 4 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 5 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 6 00:00:26,861 --> 00:00:32,215 squared. Now don't make the mistake of putting X as the common factor here. X 7 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 8 00:00:37,986 --> 00:00:44,168 common factor for X squared and the quantity X plus two is one. This also makes 9 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 10 00:00:50,385 --> 00:00:53,653 one times the quantity X plus two.