Processing math: 100%
 
+0  
 
+1
997
2
avatar+577 

so i dont know the difference between the binomial theorem and pascals triangle. why do they give such different solutions. 

 

one example. 

(2x-3)^4 can give two very different (and long) solutions

why?

 Dec 4, 2017
 #1
avatar+118702 
+1

They don't they are the same.

 

(2x-3)^4

 

The 4 line of pascals triangle is  14641

so

 

(2x3)4=1(2x)4+4(2x)3(3)1+6(2x)2(3)2+4(2x)1(3)3+1(3)4=116x4+48x33+64x29+42x127+181 =116x4+424x3+636x2+454x+181 =16x496x3+216x2216x+81

 

 

There could be careless errors but this should be the same as if you expand it in any other way.

 Dec 4, 2017
 #2
avatar+118702 
0

Here is Wolfram alpha's answer. I think it is the same:

http://www.wolframalpha.com/input/?i=expand+(2x-3)%5E4

Melody  Dec 4, 2017

0 Online Users