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Home » Question: Expand the product $ (x + 2y - z)(x - 2y + z) $ and simplify the result. - Dachbleche24

Question: Expand the product $ (x + 2y - z)(x - 2y + z) $ and simplify the result. - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Subtract 2: \( 2x = 144 \)

📌 Divide by 2: \( x = 72 \)

📌 The larger integer is \( x + 2 = 74 \).

📌 A rectangle has a length that is 3 times its width. If the perimeter is 96 meters, what is the width?

📌 Perimeter formula: \( 2(l + w) = 96 \)

📌 Substitute: \( 2(3w + w) = 96 \)

📌 Simplify: \( 2(4w) = 96 \) → \( 8w = 96 \)

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Let $ Y_n $ be yield in season $ n $.
$ Y_1 = 500 \times 1.2 = 600 $
Increase in season 1: 100
Season 2 increase: $ 0.9 \times 100 = 90 $ → $ Y_2 = 600 + 90 = 690 $
Season 3 increase: $ 0.9 \times 90 = 81 $ → $ Y_3 = 690 + 81 = 771 $
Season 4 increase: $ 0.9 \times 81 = 72.9 $ → $ Y_4 = 771 + 72.9 = 843...
Season 5 increase: $ 0.9 \times 72.9 = 65.61 $ → $ Y_5 = 843.9 + 65.61...
Total yield = $ 600 + 690 + 771 + 843.9 + 909.51 = 4014.41 $ kg/ha
Alternatively, increase sequence:
First increase: 100

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