only1Ed only1Ed
  • 12-11-2016
  • Mathematics
contestada

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

Respuesta :

AlonsoDehner AlonsoDehner
  • 03-07-2019

Answer:

Step-by-step explanation:

Given is a binomial as

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

We know that

[tex](x+a)^n = x^n+nC1 x^{n-1} a+nC2 x^{n-2} a^2+...nCr x^{n-r} a^r+...+a^n[/tex]

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

We get

[tex](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[/tex]

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