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Home » So the expression is a perfect square trinomial: - Baxtercollege

So the expression is a perfect square trinomial: - Baxtercollege

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Substitute:

📌 4^2 = 10 + 2ab \Rightarrow 16 = 10 + 2ab \Rightarrow 2ab = 6 \Rightarrow ab = 3

📌 Now compute \( |a - b| \). Note:

📌 |a - b|^2 = (a - b)(\overline{a} - \overline{b}) = |a|^2 - a\overline{b} - \overline{a}b + |b|^2

📌 But better to use algebra:

📌 |a - b|^2 = (a - b)^2 \quad ext{if real, but not necessarily.}

📌 |a - b|^2 = (a - b)(\overline{a} - \overline{b}) = |a|^2 + |b|^2 - a\overline{b} - \overline{a}b

📌 Not helpful unless complex conjugates known.

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