Final answer:
The expression that represents the sixth term in the binomial expansion of (2a - 3b)10 can be found using the binomial theorem formula.
Step-by-step explanation:
The expression that represents the sixth term in the binomial expansion of (2a - 3b)10 can be found using the binomial theorem formula. The general form of the binomial theorem is (a + b)^n = C(n, 0)a^n + C(n, 1)a^(n-1)b + C(n, 2)a^(n-2)b^2 + ... + C(n, n-1)ab^(n-1) + C(n, n)b^n, where C(n, k) represents the binomial coefficient. In this case, the sixth term has n = 10 and k = 5. Plugging these values into the formula, we get:
C(10, 5)(2a)^(10-5)(-3b)^5 = C(10, 5)(2^5a^5)(-3^5b^5)