Question

What is the Binomial Expansion of `(2k+x)^n`?

Answer 1

Binomial expansion of `(2k+x)^n` is given as

`(2k+x)^n`

`=^nC_0(2k)^n(x)^0+^nC_1(2k)^{n-1}(x)^1+^nC_2(2k)^{n-2}(x)^2+\ldots+^nC_r(2k)^{n-r}(x)^r+\ldots+^nC_n(2k)^{n-n}(x)^n`

`=^nC_0(2k)^n+^nC_1(2k)^{n-1}x+^nC_2(2k)^{n-2}(x)^2+\ldots+^nC_r(2k)^{n-r}x^r+\ldots+^nC_nx^n`