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Home » Simplifying: 4x^2 + 40x + 96 = 200 - Nurtured Nest

Simplifying: 4x^2 + 40x + 96 = 200 - Nurtured Nest

📅 May 8, 2026 👤 scraface

May 08, 2026

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📌 First, perform the prime factorization of 360.

📌 Divide by 2 (the smallest prime number):

📌 \div 2 = 180, \quad 180 \div 2 = 90, \quad 90 \div 2 = 45

📌 Next, divide by 3:

📌 \div 3 = 15, \quad 15 \div 3 = 5

📌 Finally, divide by 5:

📌 \div 5 = 1

📌 Thus, the prime factorization of 360 is \(2^3 \times 3^2 \times 5\).

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