heartcyan1214p6rylx heartcyan1214p6rylx
  • 21-02-2019
  • Mathematics
contestada

what is the second term of (m+n)^5? please show steps :) Thanks!
I'm stuck on my homework.

Respuesta :

MrBillDoesMath MrBillDoesMath
  • 21-02-2019

Hello from MrBillDoesMath!

Answer:

5 m^4 n

Discussion:

From the binomial theorem (or Pascal's triangle)

(m+n) ^ 5=

m^5 + 5 m^4 n + (5*4)/2! * m^3 n^2 +

          5*4*3/ 3! * m^2 n^3 + 5*4*3*2/4!  m n^4 + 5!/5! n^5  =

m^5 + 5 m^4 n + 10 m^3 n^2 + 10 m^2 n^3 + 5 m n^4 + n^5

The second term is shown above in bold

Thank you,

MrB

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