Binomial Theorem

[aznxD]

-----------------------------------------------------------
 
(This can be worked out by looking at the fifth row of pascals triangle)

[luken93]

Row 1:                    1
Row 2:                 1    1
Row 3:             1     2    1
Row 4:          1    3     3    1
Row 5:        1   4     6     4    1

For the first number in row 5, we have    
For the second number in row 5, we have    
For the third number in row 5, we have    

etc

[Greatness]

isnt the 3rd term 6 x 4x^2 x 9? which equals 216x^2

[aznxD]

isnt the 3rd term 6 x 4x^2 x 9? which equals 216x^2

yes it is

[onur369]

Thanks guys, Ill have a go at it a few times and let you know how I go. Btw, this is the first time I came across it, no foundation of it from yr11 whatsoever so I am rusty -.-

[aznxD]

Don't worry it wasn't in the year 11 course except for combinations 

[Greatness]

i never learnt it as well but after you do a few questions you'll get the hang of it

[luken93]

isnt the 3rd term 6 x 4x^2 x 9? which equals 216x^2

Haha I know I saw it as soon as I posted, all good now

[QuantumJG]

Where:



Pascal's triangle is a lot more simpler and useful for n < 6.

[TrueTears]

binominal theorem is a special case of the multinomial theorem, the proof can be done combinatorially.