Question

Find the product of (2x+5) (2x-5)
The product is ___

Answer 1

To find the product of \((2x + 5)(2x - 5)\), we can use the difference of squares formula, which states that \( (a + b)(a - b) = a^2 - b^2 \).

In this case:
- \( a = 2x \)
- \( b = 5 \)

So, we can apply the formula:

\[
(2x + 5)(2x - 5) = (2x)^2 - (5)^2
\]

Now, calculate each term:

\[
(2x)^2 = 4x^2
\]
\[
(5)^2 = 25
\]

Now substitute these values back into the equation:

\[
(2x + 5)(2x - 5) = 4x^2 - 25
\]

Thus, the product is:

\[
\boxed{4x^2 - 25}
\]