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Dropdown📘 A.APR.C.2🧠 DOK 2

Question:

Given the expression $(x + y)^5$ , use the Binomial Theorem to determine the coefficient of the $x^3y^2$ term.

Answer Choices:

✅ Answer:

💡 Explanation:

The Binomial Theorem states that $(x + y)^n = \sum_{k=0}^{n} \binom{n}{k} x^{n-k} y^k$ .
For the term $x^3y^2$ , we need $k = 2$ and $n-k = 3$ , and $n = 5$ .
The coefficient is $\binom{5}{2} = 10$ .

Standard: A.APR.C.2 | DOK: 2

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