Final answer:
To find the fourth term in the expansion of (3x - 1)^8, we can use the Binomial Theorem formula.
Step-by-step explanation:
To find the fourth term in the expansion of (3x - 1)^8 using the Binomial Theorem, we can use the formula:
(n choose k) * a^(n-k) * b^k,
where n is the exponent of the binomial, k is the term number, a is the first term (3x), and b is the second term (-1).
In this case, n = 8, k = 4, a = 3x, and b = -1.
Plugging these values into the formula, we get:
(8 choose 4) * (3x)^(8-4) * (-1)^4 = 70 * (3x)^4 * 1 = 70 * 81x^4 = 5670x^4.