# Math Help - Binomial exapnsion help

1. ## Binomial exapnsion help

Hi
I am trying to establish how the 1/4(x) becomes 1/10 in the expansion at the bottom
thanks

2. is this formula familiar?

Also, for the 9th degree, the coefficients are accordingly the 10th line of Pascal's triangle.

3. Hi
No, doesnt help at all

4. Alright, think of binomial expansions like this. Let k be the counter, and n your exponent in $(x+y)^n$ x = 2 and y = (1/4)x

When k = 0, then $x^(n-k) y^k = x^n$, specifically $2^9$. The coefficient is 1.

and so on. (The first three numbers on the 10th line are 1, 9, 37)