Question
Find the product. Simplify your answer. \( (4 c+2)(4 c-2) \)
Ask by Guerrero Osborne. in the United States
Feb 04,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The product simplifies to \(16c^2 - 4\).
Solution
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The Deep Dive
To find the product of \( (4c + 2)(4c - 2) \), we can apply the difference of squares formula, which states that \( (a+b)(a-b) = a^2 - b^2 \). Here, \( a = 4c \) and \( b = 2 \). So, we calculate: \[ (4c + 2)(4c - 2) = (4c)^2 - (2)^2 = 16c^2 - 4 \] Thus, the simplified answer is: \[ 16c^2 - 4 \]
