pascal's triangle / expanding polynomial

[da_silvy]

(ax+b)^n

how do you expand that using pascal's triangle?

i'm aware of the binomial theorem, but i've seen some questions relating to this too...


Thanks

[sql_lall]

my class is just doing in internal assessment on a similar thing...

anyway:
(ax + b) ^ n

= sum(i = 0 to n): (ax)ⁱ * b^{n - i} * ⁿC_i

where ⁿC_i is the combination formula =
n!
-----
i!(n-i)!

which also happens to be the pascal's triangle number, nth row (starting from 0), ith column (starting from zero)

[da_silvy]

thanks very much

it's the coefficients!