Tag: algebra

Brain exercising #1

I happened to see this problem on Twitter. It reminded me of my secondary school when I was passionate about solving math problems :)… I am thinking of a little corner of this blog for this sort of exercising. Claim: If $p$ is prime, all the coefficients in $(a+b)^p$ except the first and the last are divisible by $p$. If p is prime, all the coefficients in (a+b)^p except the first and last are divisible by p.