Question
Factor the binomial completely. \( 9 c^{2}-16 \) Select the correct choice below and fill in any answer boxe A. \( 9 c^{2}-16=\square \) B. The polynomial is prime.
Ask by Frank Craig. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(9c^{2}-16=(3c-4)(3c+4)\)
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The Deep Dive
The expression \( 9c^{2} - 16 \) is a difference of squares, which can be factored using the formula \( a^{2} - b^{2} = (a - b)(a + b) \). Here, \( a = 3c \) and \( b = 4 \), so we can write it as \( (3c - 4)(3c + 4) \). A. \( 9c^{2} - 16 = (3c - 4)(3c + 4) \)
