Problem
Factor. \[ 9 y^{2}-64 z^{2} \]
Solution
Step 1 ：Identify \(a\) and \(b\) in the given expression. Here, \(a = 3y\) and \(b = 8z\).
Step 2 ：Apply the difference of squares formula, which is \(a^2 - b^2 = (a - b)(a + b)\).
Step 3 ：Substitute \(a\) and \(b\) into the formula. So, \(9y^2 - 64z^2 = (3y - 8z)(3y + 8z)\).
Step 4 ：\(\boxed{(3y - 8z)(3y + 8z)}\) is the factored form of \(9y^2 - 64z^2\).
