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

Answer: x^4 + 8x^3 + 24x^2 + 32x + 16

Step-by-step 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