(4m + n)^3 = (4m + n)(4m + n)(4m + n)Expanding this, we get:64m^2 + 16mn + 16mn + n^2 + 16mn + 4n^2Combine like terms:64m^2 + 48mn + 9n^2
Therefore, (4m+1n)^3 = 64m^2 + 48mn + 9n^2.
(4m + n)^3 = (4m + n)(4m + n)(4m + n)
Expanding this, we get:
64m^2 + 16mn + 16mn + n^2 + 16mn + 4n^2
Combine like terms:
64m^2 + 48mn + 9n^2
Therefore, (4m+1n)^3 = 64m^2 + 48mn + 9n^2.