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Home » \binom43 \times 3^3 = 4 \times 27 = 108 - Groen Casting

\binom43 \times 3^3 = 4 \times 27 = 108 - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 \[ 48 = 2^4 \times 3^1 \]

📌 The prime factorization of 256 is:

📌 \[ 256 = 2^8 \]

📌 The GCD is found by taking the lowest power of all prime factors common to both numbers. Here, the only common prime factor is 2.

📌 For 2, the lowest power common to both factorizations is \(2^4\).

📌 Thus, the GCD of 48 and 256 is:

📌 Therefore, the greatest common divisor is \(\boxed{16}\).

📌 A pharmacologist develops a new drug and models its concentration in the bloodstream over time using the expression \(3x^2 + 21x + 18\). Factor this expression completely.

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