can someone plz explain binomial exoansions to me?

Question

so, i'm in a zero leval algebra class in college. i have a very important test on tuesady over binomial expansions. the prob is, i dont get them...no matter how many notes i've taken. can anyone think of an website or ahve a way to expalin that i might undaerstand? plz?

EX: X^-8 Y^4

(-2AB^3 C)4 (-2A^2 B)3

(Z^4)^-3 (Z^-2)^-5



IF U COULD HELP ME UNDERSTAND IT THEN THANX!

these are 3 seperate probs. the object is to break the prob down....i think. i know that the teacher was breaking everything down.....an answer she came up with for another prob had the effect of 34^3.
i really cant elaborate, cause i dont understand. but, you can email me, and i'll tell you what soem of my notes are...and some more ex probs.
plz! the test is soon and i haev no clue!

Answer 1

Ok, I think that I got it. on the third one you posted, it's about simplifying the binomials (2 numbers). So you add the exponents of the like variables (or coefficiants- there's no number, then it's assumed to be 1. Ex.
(z^4)^-3 * (z^-2)^-5
(z^2)^-8

Are there no answers in the back of the book? I would email you, but it blocks your address, if I could see some of your notes it would be easier to explain I think.

Answer 2

It tells you in regards to the coefficients while increasing (x+y)^n, this is (x+y)(x+y)... n cases. It makes use of three bits of maths short hand a million.Sigma appears like a squashed capital E. It potential sum(upload jointly) and it may desire to have limits like ok=0 at backside and ok=n at proper, meaning upload jointly all the words while ok=0, ok=a million ok=2 etc till ultimately ok=n 2.ok! meaning ok factorial, ok(ok-a million)(ok-2) right down to a million. 0! is defined to be a million So3!=3.2.a million=6 3.enormous left bracket n/(ok(n-ok)) enormous precise bracket meaning n!/ok!(n-ok)! So while n=3 and ok=2 so enormous left bracket 3!/(2!a million!) enormous precise bracket Now look at wikipedia and enter binomial theorem with this rationalization and the examples you need to get the belief...