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fily484
@fily484
December 2022
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Factoriser les expression: a) 4x²/9 -1 b) 16x² - (x + 1)²
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lewis95
a) 4x²/9 -1 = (4x² - 9)/9 = (4x² - 3²)/3² = (4x + 3)(x - 3)/3² = (2x + 1)(2x - 3)/3 = 2(2x + 1)(x - 3)/3
b) 16x² - (x + 1)² = 16x² - (x + 1)(x + 1) = 16x² - x² - 2x - 1 = 15x² - 2x - 1 = 3x(5x - 2) - 1 = (3x - 1)(5x - 1)
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fily484
mercii beaucoup
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b) 16x² - (x + 1)² = 16x² - (x + 1)(x + 1) = 16x² - x² - 2x - 1 = 15x² - 2x - 1 = 3x(5x - 2) - 1 = (3x - 1)(5x - 1)