Find the product. Simplify your answer. $$ (2 v+4)(v-1) $$

Question

UpStudy AI · Accepted Answer

To find the product of $$(2v + 4)(v - 1)$$ and simplify the expression, follow these steps:

1. **Distribute each term in the first polynomial to each term in the second polynomial:**

$$
(2v + 4)(v - 1) = 2v \cdot v + 2v \cdot (-1) + 4 \cdot v + 4 \cdot (-1)
$$

2. **Perform the multiplication:**

$$
= 2v^2 - 2v + 4v - 4
$$

3. **Combine like terms:**

$$
2v^2 + (-2v + 4v) - 4 = 2v^2 + 2v - 4
$$

**Final Answer:**

$$
2v^2 + 2v - 4
$$
The product simplifies to $$2v^2 + 2v - 4$$.

Find the product. Simplify your answer. \[ (2 v+4)(v-1) \]