Question

part b
multiply. express your answer as a polynomial in standard form.
(1 point)
(2x + 5)(2x - 5) = \square

Explanation:

Step1: Apply difference of squares formula

The expression \((2x + 5)(2x - 5)\) is in the form of \((a + b)(a - b)\), where \(a = 2x\) and \(b = 5\). The difference of squares formula is \((a + b)(a - b)=a^2 - b^2\).

Step2: Substitute \(a\) and \(b\) into the formula

Substitute \(a = 2x\) and \(b = 5\) into \(a^2 - b^2\). We get \((2x)^2 - 5^2\).

Step3: Simplify the terms

Simplify \((2x)^2\) to \(4x^2\) and \(5^2\) to \(25\). So the expression becomes \(4x^2 - 25\).

Answer:

\(4x^2 - 25\)