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

Question

UpStudy AI · Accepted Answer

To find the product of $$ (2q + 1)(2q - 1) $$ and simplify the expression, you can use the difference of squares formula, which states:

$$
(a + b)(a - b) = a^2 - b^2
$$

Here, $$ a = 2q $$ and $$ b = 1 $$. Applying the formula:

$$
(2q + 1)(2q - 1) = (2q)^2 - (1)^2 = 4q^2 - 1
$$

**Simplified Answer:**

$$
4q^2 - 1
$$
The product simplifies to $$ 4q^2 - 1 $$.

Find the product. Simplify your answer. \( (2 q+1)(2 q-1) \)