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Home » Thus, the smallest such number is $\boxed120$. - Sourci

Thus, the smallest such number is $\boxed120$. - Sourci

📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 Thus, $u^2 - 5u + 4$ factors as $(u - 4)(u - 1)$.

📌 Substitute back $u = x^2$:

📌 Both $x^2 - 4$ and $x^2 - 1$ are differences of squares:

📌 x^2 - 4 = (x - 2)(x + 2)

📌 Therefore, the complete factorization is:

📌 The final factored form is:

📌 \boxed{(x - 2)(x + 2)(x - 1)(x + 1)}

📌 An interdisciplinary researcher is analyzing a system where the variables $q$ and $r$ are related by the equation $2q + 3r = 12$. If $q = 3$, determine the value of $5r - q$.

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