Question

multiply.
(5y - 8)(5y + 8)
simplify your answer.

Explanation:

Step1: Identify the formula

This is a product of a sum and a difference, which follows the formula \((a - b)(a + b) = a^2 - b^2\). Here, \(a = 5y\) and \(b = 8\).

Step2: Apply the formula

Substitute \(a = 5y\) and \(b = 8\) into the formula: \((5y)^2 - 8^2\).

Step3: Simplify each term

Calculate \((5y)^2 = 25y^2\) and \(8^2 = 64\). So the expression becomes \(25y^2 - 64\).

Answer:

\(25y^2 - 64\)