Question

What is the binomial expansion of (m+2)^4

Answer 1

Explanation:

Given is a binomial as

m+2 and we have to raise to power 4.

We know that

`(x+a)^n = x^n+nC1 x^(n-1) a+nC2 x^(n-2) a^2+...nCr x^(n-r) a^r+...+a^n`

Here substitute n =4, x=m and a =2

We get

`(m+2)^4 =m^4+4C2 m^3(2) +4C2 m^2 (2^2)+4C3 m (2)^3 +4C4 (2)^4\\= m^4+8m^3+24m^2+32m+16`