Question

multiply.
(2y + 3z)(2y - 3z)
simplify your answer.

Explanation:

Step1: Identify the formula

This is a difference of squares, the formula is \((a + b)(a - b)=a^2 - b^2\). Here \(a = 2y\) and \(b = 3z\).

Step2: Apply the formula

Substitute \(a = 2y\) and \(b = 3z\) into the formula: \((2y)^2-(3z)^2\).

Step3: Simplify the terms

Calculate \((2y)^2 = 4y^2\) and \((3z)^2 = 9z^2\), so we get \(4y^2 - 9z^2\).

Answer:

\(4y^2 - 9z^2\)