(1 point) Find the coefficient of $x^{39}y^{12}$ in the expansion of $(-5x^3 + 2y^6)^{15}$. The coefficient of $x^{39}y^{12}$ is 7557296947200
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The binomial theorem states that for any positive integer n, the expansion of (a + b)^n can be written as the sum of the terms of the form C(n, k) * a^(n-k) * b^k, where C(n, k) represents the binomial coefficient. In this case, a = x and b = 2y, so we have (x + Show more…
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