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multiply. (3 - 8b)(3 + 8b) simplify your answer.

Question

multiply.
(3 - 8b)(3 + 8b)
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, \(a = 3\) and \(b = 8b\).

Step2: Apply the formula

Substitute \(a = 3\) and \(b = 8b\) into the formula:
\(a^2 - b^2=(3)^2-(8b)^2\)

Step3: Simplify each term

Calculate \(3^2 = 9\) and \((8b)^2 = 64b^2\). So we get \(9 - 64b^2\).

Answer:

\(9 - 64b^2\)