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Home » $ \log(1.125) \approx 0.051161 $ - Imagemakers

$ \log(1.125) \approx 0.051161 $ - Imagemakers

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 Question: Expand the product $ (x + 2y - z)(x - 2y + z) $ and simplify the result.

📌 Let $ a = x $, $ b = 2y - z $. Then:

📌 Now expand $ (2y - z)^2 $:

📌 x^2 - (4y^2 - 4yz + z^2) = x^2 - 4y^2 + 4yz - z^2

📌 Thus, the simplified expansion is $ oxed{x^2 - 4y^2 + 4yz - z^2} $.

📌 Question: Factor the expression $ 9x^2 - 30xy + 25y^2 - 16z^2 $ completely.

📌 First, group the first three terms:

📌 Note that $ 9x^2 - 30xy + 25y^2 = (3x - 5y)^2 $, a perfect square.

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