Find the product. Simplify your answer. $$ (3 v-4)(2 v-3) $$

Question

UpStudy AI · Accepted Answer

To find the product of $$(3v - 4)(2v - 3)$$ and simplify the expression, follow these steps:

1. **Apply the Distributive Property (FOIL Method):**
   $$
   (3v - 4)(2v - 3) = 3v \cdot 2v + 3v \cdot (-3) + (-4) \cdot 2v + (-4) \cdot (-3)
   $$

2. **Multiply Each Term:**
   $$
   = 6v^2 - 9v - 8v + 12
   $$

3. **Combine Like Terms:**
   $$
   = 6v^2 - 17v + 12
   $$

**Final Answer:**
$$
6v^2 - 17v + 12
$$
The product simplifies to $$6v^2 - 17v + 12$$.

Find the product. Simplify your answer. \[ (3 v-4)(2 v-3) \]