Binomial theorem!

 The Binomial Theorem provides a way to expand expressions of the form 

$(a + b)^n$, where $n$ is a non-negative integer. It states that:

$$(a + b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^k$$

Here, $\binom{n}{k}$ (read as "n choose k") is the binomial coefficient, given by:

$$\binom{n}{k} = \frac{n!}{k!(n-k)!}$$

Key Points:

1. Expansion: The theorem expresses the expansion as a sum of terms involving powers of $a$ and $b$.
2. Coefficients: Each term in the expansion is multiplied by a binomial coefficient.
3. Symmetry: The coefficients are symmetric, as $\left(\genfrac{}{}{0px}{}{n}{k}\right)=\left(\genfrac{}{}{0px}{}{n}{n-k}\right)$

I am sharing my handwritten notes for binomial theorem, which were very useful to me and would also be helping u-

https://drive.google.com/file/d/19udzXBgP4_16DPX9X6y8Xx1KIfAQh4Hb/view?usp=drive_link

Am also sharing a concept map sort of thing to gist the whole chapter up-

Happy binomialing✌✌✌