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📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 Question: Factor the expression $ 16x^4 - 81y^4 $.

📌 Recognize this as a difference of squares:

📌 16x^4 - 81y^4 = (4x^2)^2 - (9y^2)^2 = (4x^2 - 9y^2)(4x^2 + 9y^2)

📌 Now notice that $ 4x^2 - 9y^2 $ is also a difference of squares:

📌 4x^2 - 9y^2 = (2x - 3y)(2x + 3y)

📌 So the full factorization is:

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

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

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