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bikovaanna20041
@bikovaanna20041
June 2022
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(х-3у)^2-(3х-у)^2 если, х=-3
у=3 целых одна вторая упростить выражение и найти его значение
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Санечка69
Verified answer
(х - 3у)
²
- (3х - у)
² = х² - 6ху + 9у² - (9х² - 6ху + у²) =
х² - 6ху + 9у² - 9х² + 6ху - у² =
=
8у²
- 8х
²
= 8(у² - х²) = 8(у - х)(у + х)
при х = -3 и у = 3 целые 1/2 = 3,5
8(3,5 + 3)(3,5 - 3) = 8 · 6,5 · 0,5 = 4 · 6,5 = 26
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Answers & Comments
Verified answer
(х - 3у)² - (3х - у)² = х² - 6ху + 9у² - (9х² - 6ху + у²) = х² - 6ху + 9у² - 9х² + 6ху - у² == 8у² - 8х² = 8(у² - х²) = 8(у - х)(у + х)
при х = -3 и у = 3 целые 1/2 = 3,5
8(3,5 + 3)(3,5 - 3) = 8 · 6,5 · 0,5 = 4 · 6,5 = 26