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 #1
avatar+118723 
+5
Jun 28, 2015
 #1
avatar+33661 
+10

The expression in the subject title of your question illustrates the first few terms of the binomial expansion (which has lots of uses in mathematics) - see https://en.wikipedia.org/wiki/Binomial_theorem for more information.

 

In the body of your question the solver has assumed you want to equate the left-hand side with the right-hand side and has assumed nx is a variable in its own right (it doesn't recognise implicit multiplication).  Strangely, it has also assumed (1+x)n is also a single variable (!) and has solved the equation as if it were a quadratic.

.

Jun 28, 2015
 #78
avatar+118723 
+5

@@ End of Day Wrap  Sun 28/6/15   Sydney, Australia Time   2:20pm  ♪ ♫

 

Hi everyone,

 

The last couple of days have been very quiet, but no matter how few or how many questions are posted there are always some amazing people ready to lend a hand.   This time those people were Bertie, Alan, Heureka, Radix, Fiora, Asinus, Sir-Emo-Chappington, Rosala, CPhill, TitaniumRome, MathsGod1, CaptainMan and DarkBlaze314.   Thank you all  

 

If you would like to comment on other site issues please do so on the Lantern Thread.  Thank you.    

 

Interest Posts: 

 

1) TitaniumRome's maths challenge      

2) Time and speed.                                                                    Thanks CPhill 

3) Common divisor for 2 consecutive terms (continued)                Thanks CPhill and Bertie.

4) Composite functions                                                              Thanks CPhill

5) Solving equations with absolute values                                    Melody

6) Euler's Totient Function                                                          Thanks Heureka           

 

                       ♫♪  ♪ ♫                                ♬ ♬ MELODY ♬ ♬                                 ♫♪  ♪ ♫

Jun 28, 2015
 #69
avatar+118723 
0

Tues 230/6/15

If you would like to comment on other site issues please do so on the Lantern Thread.  Thank you.    

 

Interest Posts:

FTJ means 'For the juniors' 

1)  Funny pic       I liked it anyway                       Thanks Awsomeee

2)  Forum Fun                                           Thanks Rosala, CaptainMan, Queen Guinevere and Morgan Tud.

3)  Negative indices and some serious business. lol    Thanks Rosala

4)  Car economy                                                     Thanks Sir-Emo-Chappington 

5)  20^20-2^19                                                      Thanks CPhill and Sir-Emo...

6)  When are Farenheight and Celcius equal ?            Thanks CPhill

7)  Finding lowest common multiple    FTJ+               Thanks Anonymous4338 and Melody

8)  Goldbach's Conjecture                                        Thanks CPhill 

9)  Gambling odds for Keno                                      Thanks Nauseated and Melody 

10) Find integer solutions  (A Mellie special)               Thanks CPhill

11) Page 1891 has many great questions asked by Mellie.  I think most are only half answered.  

12) Totient function     Continued                             Thanks CPhill and Heureka

 

                       ♫♪  ♪ ♫                                ♬ ♬ MELODY ♬ ♬                                 ♫♪  ♪ ♫

Jun 28, 2015
 #3
avatar+118723 
0
Jun 28, 2015

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