Question

find the product. simplify your answer.
(3b - 4)(3b + 4)

Explanation:

Step1: Identify the formula

This is a difference of squares, formula: $(a - b)(a + b) = a^2 - b^2$
Here, $a = 3b$, $b = 4$

Step2: Apply the formula

Substitute $a$ and $b$ into the formula:
$(3b)^2 - 4^2$

Step3: Simplify each term

$(3b)^2 = 9b^2$, $4^2 = 16$
So, $9b^2 - 16$

Answer:

$9b^2 - 16$