Final Answer:
The FOIL method can be used to multiply (3x-7)(6x+5), which results in 18x^2 + 3x - 35.
Explanation:
The FOIL method is a mnemonic that stands for First, Outer, Inner, Last. It is used to multiply two binomials. In this case, we have:
(3x - 7)(6x + 5)
Using the FOIL method, we get:
First: 3x * 6x = 18x^2 Outer: 3x * 5 = 15x Inner: -7 * 6x = -42x Last: -7 * 5 = -35
Combining like terms, we get:
18x^2 + 3x - 35
Therefore, the product of (3x-7)(6x+5) is 18x^2 + 3x - 35.
Therefore, using the FOIL method, the expanded form of (3x-7)(6x+5) is 18x^2 + 3x - 35.