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Home » Solve for \( x \): \( \frac2x - 13 = 5 \) - Dachbleche24

Solve for \( x \): \( \frac2x - 13 = 5 \) - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Final answer: $ \boxed{(2x - 3y)(2x + 3y)(4x^2 + 9y^2)} $

📌 Question: Compute the square of $ 3\sqrt{2} - 2\sqrt{3} $.

📌 Use the identity $ (a - b)^2 = a^2 - 2ab + b^2 $:

📌 Compute each term:

📌 2(3\sqrt{2})(2\sqrt{3}) = 12\sqrt{6}

📌 Final answer: $ \boxed{30 - 12\sqrt{6}} $

📌 Question: Rationalize the denominator of $ \frac{5}{\sqrt{7} + \sqrt{2}} $.

📌 Multiply numerator and denominator by the conjugate $ \sqrt{7} - \sqrt{2} $:

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