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Expand \((x+1)^{(x+1)}\).

MaxWong  Jun 13, 2017
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3+0 Answers

 #1
avatar+80 
0

I'm thinking maybe it's 1? My calculator can't do the fancy "x" so I'm not sure.

mathguardian23  Jun 13, 2017
 #2
avatar+78557 
+2

 

(x + 1)x+1  =

 

C(x + 1, 0) * xx+ 1  + C(x+1, 1) * xx  + C(x + 1, 2) * xx-1 +.......+ C(x +1, x -1) * x2 + C(x + 1, x) * x  +

C(x + 1, x + 1) * x0 * 1x

 

Note that the first term just evaluates to xx + 1 and the last term just  evaluates to 1

 

 

cool cool cool

CPhill  Jun 13, 2017
edited by CPhill  Jun 13, 2017
 #3
avatar+80 
0

Oh, I did do it right. That's good.

mathguardian23  Jun 13, 2017

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