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in this video were going to focus on foiling binomial expressions using pascals triangle and also how to find the coefficient of lets say the fourth term or the seventh term and things like that so lets say if we have the expression x minus 2 raised to the third power how can we foil this expression now theres two ways you can do this you can multiply x minus two three times or you can use the binomial theorem to help you to expand this expression were gonna do it both ways but first lets use the binomial theorem and then well confirm the answer by actually foiling these three terms so you need to be familiar with pascals triangle so lets start with a and then lets place two other ones one plus one is two at the end you will always have a one one plus two is three one plus three is four three plus three is six hopefully by now you see a pattern one plus four is five four plus six is ten and so forth now notice that we have an exponent of three so we want to use this rule wh