Pascal's triangle is probably your best bet.
Pascal's triangle - Wikipedia, the free encyclopedia
Or if you know binomial expansion, you can just use that as well, which is included in the website above.
please write out the expansions for each it would help me greatly understand how its done...
find the co efficient of x^6 in the expansion (1+3x)^12
find the term in x^3 in the expansion of (2+x)^4
find the binomial expansion of (2-x)^4 writing each term as simply as possible
thanks in advance
Pascal's triangle is probably your best bet.
Pascal's triangle - Wikipedia, the free encyclopedia
Or if you know binomial expansion, you can just use that as well, which is included in the website above.
recall
what does k have to be to get ?
use the same formula above, what does k have to be to getfind the term in x^3 in the expansion of (2+x)^4
just expand based on the same formula again. you are writing out all the terms nowfind the binomial expansion of (2-x)^4 writing each term as simply as possible
thanks in advance
i wouldn't recommend Pascal's triangle for the first two. you'd end up having to count the terms as opposed to just plugging numbers into the binomial formula
using Pascal's triangle is probably easier for the last one, depending on your taste
You're right, I was just afradi he hadn't learned the binomial formula yet. Pascal's is just simpler in terms of the math needed, but will almost always take more time then using the binomial formula. They will both give you the same answer, but if you haven't learned the binomail formula, or don't want to learn it, Pascal's works.
yes, i agree with you. i tend to prefer Pascal's method if i am expanding everything. but if they just ask me to pin-point one term, i find the binomial method to be easier.
since "Binomial expansion" was in the title, i assumed the poster would have some familiarity with it