Final answer:
The coefficient of the term containing xy in the expansion of (4x + y)² is 8, found using the binomial expansion.
Step-by-step explanation:
The question is focused on finding the coefficient of the term containing xy in the expansion of (4x + y)². To find this, we need to apply the binomial expansion to the expression (4x + y)².
Recall that the binomial expansion of (a + b)² is given by a² + 2ab + b². Substituting a with 4x and b with y, we get:
(4x + y)² = (4x)² + 2 · (4x) · y + y²
=(16x²) + (8xy) + (y²)
The coefficient of the term containing xy is therefore 8. This is a classic example of a binomial expansion, and a common task in algebra.