(2x+5)(2x−5)=

Answer 1

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

Here, we can identify:

• \(a = 2x\)
• \(b = 5\)

Applying the formula:

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

Now calculate each square:

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

Putting it together:

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

Thus, the expansion of \((2x + 5)(2x - 5)\) is:

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