Find the product. Simplify your answer. $$ (j+1)(2 j+3) $$

Question

UpStudy AI · Accepted Answer

To find the product of $$(j + 1)(2j + 3)$$ and simplify it, follow these steps:

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

$$
(j + 1)(2j + 3) = j \cdot 2j + j \cdot 3 + 1 \cdot 2j + 1 \cdot 3
$$

2. **Multiply the terms:**

$$
= 2j^2 + 3j + 2j + 3
$$

3. **Combine like terms:**

$$
= 2j^2 + (3j + 2j) + 3 = 2j^2 + 5j + 3
$$

**Final Answer:**
$$
2j^2 + 5j + 3
$$
The product simplifies to $$2j^2 + 5j + 3$$.

Find the product. Simplify your answer. \[ (j+1)(2 j+3) \]