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\[ a = 2b - 1 \] - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 2\sqrt{18 \cdot 8} = 2\sqrt{144} = 2 \times 12 = 24

📌 Thus, the square is \(\boxed{50}\).

📌 Factor the expression \( x^4 - 16y^4 \) completely over the real numbers.

📌 Recognize the expression as a difference of squares:

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

📌 Now, note that \(x^2 - 4y^2\) is also a difference of squares:

📌 x^2 - 4y^2 = (x - 2y)(x + 2y)

📌 The term \(x^2 + 4y^2\) cannot be factored over the reals.

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