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Can someone confirm my answer to a binomial theorem question? I'm doing homework online and I don't want to press enter yet before I know I did my steps right. 

The question is write the first four expansion of the following expression: 

(2x-y)^4

 

My answer was: 2x^4 - 8x^3 + 12x^2 - 8x + 1

 Nov 22, 2014

Best Answer 

 #3
avatar+23246 
+5

The coefficients to be used are   1   4   6   4   1

So:  1(2x)^4  +  4(2x)^3(-y)^1  +  6(2x)^2(-y)^2  +  4(2x)^1(-y)^3  +  (-y)^4

 Nov 22, 2014
 #1
avatar+118608 
+5

It is incorrect.   

 Nov 22, 2014
 #2
avatar
0

What did I do wrong?

 Nov 22, 2014
 #3
avatar+23246 
+5
Best Answer

The coefficients to be used are   1   4   6   4   1

So:  1(2x)^4  +  4(2x)^3(-y)^1  +  6(2x)^2(-y)^2  +  4(2x)^1(-y)^3  +  (-y)^4

geno3141 Nov 22, 2014

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