Problem

Multiply. \[ (3 x-2)(3 x+2) \] $(3 x-2)(3 x+2)=\square($ Simplify your answer.)

Solution

Step 1 :Given the expression \((3 x-2)(3 x+2)\), we need to simplify it.

Step 2 :First, we apply the distributive property, which states that \(a(b + c) = ab + ac\) and \(a(b - c) = ab - ac\).

Step 3 :Applying this to our expression, we get \(9x^2 - 4\).

Step 4 :Final Answer: The simplified form of the expression \((3 x-2)(3 x+2)\) is \(\boxed{9x^2 - 4}\).

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