What is the second term of (m+n)^5? show steps : ) !
i'm stuck on my homework.

Hello from MrBillDoesMath!

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

the answer is 62.8 cubic units

$649.60

step-by-step explanation: