College Algebra - Lecture 38 - The Binominal Theorem

[alphamale442]

Now this is a professor I'd like to have. Someone who likes his job as a professor, loves what hes teaching, and loves math. Purely awesome!

[aldrinigop]

1:04:26!!!! OW my goodness!! This is long! #FTW

[salemshady]

fantastic video!! It all finally makes sense. Thank you for uploading this

Cheers

:D

[valeagrl1]

continued from comment below... rediculous now & super complicated doing it the long way. I am really new to all this stuff (adult student returning to school through correspondence), so I appreciate the help. The guy's video on youtube is called How to quckly expand binomials & his youtube user name is mathacadamy. Can you look at his video and let me know what you think? I guess I know I should understand the long way but is it going to continue for me to do that later you think?

[valeagrl1]

continued from comment below... so divide it by the number of term it is to get the coeff for the next term!! & it works! what I am surprised about is that it doesn't only just work w/ simple binomials but even w/ binomials like your example here (2y -3)^4. So as it ends up being so easy to do it that way I'm at a loss to do it the long way (ie. w/ the k and the whole long way of writing out the combinations for the coeffs as my math book is trying to make me do : ( It seems kind of

[valeagrl1]

still haven't figured out, though, why they want me to use the combination (ie. "5 choose 0" or C (5,0) and the like) within each term, instead of simply just using the numbers from the appropriate row in the binomial theorem triangle... Can you tell me why? So then if the binomial exponent is too high in the question there's another guy on youtube who has a vid which shows you can multiply the coeff by the exponent in each term and divide it by whatever number of term it is 1st /1; 2nd/2etc