Answer:
D. 80
Explanation:
You want the coefficient of the x³y² term in the expansion of the binomial (2x +y)⁵.
Binomial expansion
The k-th term in the expansion of the binomial (a +b)^n will be given by ...
(nCk)(a^(n-k))(b^k) . . . . . . . where k = 0 .. n, and nCk = n!/(k!(n-k)!)
We want the term for a = 2x, b = y, n = 5, k = 2:
(5C2)(2x)³)(y²) = 10·8x³y² = 80x³y²
The coefficient of the term of interest is 80, matching choice D.
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