Binomial Theorem (1 Viewer)

[zenger69]

I understand how to basically expand a large binomial such as (x+5)^8.

But in Maths In Focus EX 11.2

its starts incorporating Combinations.... can anyone just explain what it's really talking about... it seems to be all over the place.

 

[withoutaface]

8C0 x⁸ + 8C1 5x⁷ + 8C2 25x⁶ + ... + 8C8 5⁸

If you look at the examples you can see the pattern with the coefficients for (x+a)^m is clearly

T_n= mC(n-1)x^m-(n-1)a^n-1 and the expansion goes from n=1 to n=m+1

 

[...]

have a read through the use of Pascal triangle

 

[Slidey]

And consult another textbook, if you don't understand MIF's explanation.

 

[...]

may i recommend you Couchman one??

 

[dawso]

yeah m8, it all comes from the symmetry or pascals and the relation of that 2 binomial expansions....read through it all, makes sense really