Binomial Theorem problem

alainea

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Oct 22, 2009
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Hi. I have math 17 aka logic as a class, and the teacher is gone half the time so I can't speak to him. I can't figure out the answer to (x-2y)^5. I wrote the problem out into five times. Also, saying for y would the exponets i -2 fives time to an answer? Help is appericated, and thanks.
 
alainea said:
Also, saying for y would the exponets i -2 fives time to an answer?
WHAT does that mean? Can you be clear, please.
 
[a+b]^5=a^5+5a^4b+10a^3b^2+10a2b^3+5ab^4+b^5

let a=x
let b=-2y

[x-2y]=x^5+5x^4(-2y) +10x^3(-2y)^2+10x^2(-2y)^3+5x(-2y)^4+(-2y)^5

you can finish the problem
Arthur
 
let a=x
let b=-2y

[x-2y]=x^5+5x^4(-2y) +10x^3(-2y)^2+10x^2(-2y)^3+5x(-2y)^4+(-2y)^5

So my answer is

x^5-10x^4y^2-20x^2y^3-10xy^4-8y^5
 
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