+0  
 
+10
1023
5
avatar+9466 

\(\text{What's } (x+\frac{1}{x})^4 \text{ ?}\)

 Jul 19, 2016

Best Answer 

 #4
avatar+118587 
+22

Hi Heureka, 

Chris and I were discussing just this morning that we wished you would come back.

Were your ears burning?

It is really GREAT to see you again  :)

 Jul 19, 2016
 #1
avatar+9466 
+5

Why there are 2 of the same post help LOL

 Jul 19, 2016
 #2
avatar+26364 
+20

What's

\((x+\frac{1}{x})^4 ~ \text{ ?}\)

 

\(\begin{array}{rcll} && (x+\frac{1}{x})^4\\ &=& \binom40 \cdot x^4 + \binom41 \cdot x^3 \cdot \frac1x + \binom42 \cdot x^2 \cdot \frac1{x^2} + \binom43 \cdot x \cdot \frac1{x^3} + \binom44 \cdot \frac1{x^4} \\ &=& 1 \cdot x^4 + 4 \cdot x^3 \cdot \frac1x + 6 \cdot x^2 \cdot \frac1{x^2} + 4 \cdot x \cdot \frac1{x^3} + 1 \cdot \frac1{x^4} \\ &=& x^4 + 4 \cdot x^2 + 6 + \frac4{x^2} + \frac1{x^4} \\ \end{array} \)

 

laugh

 Jul 19, 2016
 #3
avatar+42 
+15

x=i, -i laugh

 Jul 19, 2016
 #4
avatar+118587 
+22
Best Answer

Hi Heureka, 

Chris and I were discussing just this morning that we wished you would come back.

Were your ears burning?

It is really GREAT to see you again  :)

Melody Jul 19, 2016
 #5
avatar+26364 
+20

Hi Melody and Chris, 

 

thank you.

 

laugh

heureka  Jul 19, 2016

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