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To find a specific term in a binomial expansion, you can use the general term formula, which is given by:

C(n, k) * x^k * y^(n-k)

where C(n, k) is the binomial coefficient, n is the binomial degree, k is the exponent of x, n-k is the exponent of y, and x^k and y^(n-k) are the terms of the expansion.

The binomial coefficient C(n, k) can be calculated using the formula:

C(n, k) = n! / (k! (n-k)!)

where n! is n factorial (the product of all positive integers up to n), and k! and (n-k)! are the factorials of k and n-k, respectively.

For example, to find the coefficient and the term of x^3 in the expansion of (x + y)^5, we would use the general term and the binomial coefficient formula to calculate C(5, 3) as follows:

C(5, 3) = 5! / (3! (5-3)!) = 5! / (3! 2!) = (5 * 4 * 3 * 2 * 1) / (3 * 2 * 1 * 2 * 1) = 10

So the coefficient of the term x^3 in the expansion of (x + y)^5 is 10, and the term itself is:

10 * x^3 * y^(5-3) = 10x^3y^2