[Script Info]
Title:
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.29,0:00:04.38,Default,,0000,0000,0000,,We find the lowest common denominator by factoring each of these denominators
Dialogue: 0,0:00:04.38,0:00:09.40,Default,,0000,0000,0000,,first. The first denominator will have factors of x plus 2 times x minus 6,
Dialogue: 0,0:00:09.40,0:00:14.67,Default,,0000,0000,0000,,since factors of 12 that sum to negative 4 are positive 2 and negative 6. The
Dialogue: 0,0:00:14.67,0:00:20.28,Default,,0000,0000,0000,,factors for x squared minus 36 would be x minus 6 and x plus 6. This is just the
Dialogue: 0,0:00:20.28,0:00:24.68,Default,,0000,0000,0000,,difference of two perfect squares. We can see that both of the denominators
Dialogue: 0,0:00:24.68,0:00:29.46,Default,,0000,0000,0000,,share a common factor of x minus 6. So this is the factor they share, and we
Dialogue: 0,0:00:29.46,0:00:33.60,Default,,0000,0000,0000,,list it in the middle. The other factor of this denominator is x plus 2, and the
Dialogue: 0,0:00:33.60,0:00:38.11,Default,,0000,0000,0000,,other factor of this denominator is x plus 6. Finally, we just multiply all
Dialogue: 0,0:00:38.11,0:00:42.47,Default,,0000,0000,0000,,these factors together to get our lowest common denominator, right here.