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Serined
@Serined
January 2021
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Bonsoir,
J'aurais besoin d'aide pour factoriser & développer ces expressions suivantes en détaillants mes réponses.
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maudmarine
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Bonsoir,
1)
A (x) = (x + 3)² - 4x (1 - x)
A (x) = x² + 6x + 9 - 4x + 4x²
A (x) = x² + 4x² + 6x - 4x + 9
A (x) = 5x² + 2x + 9
B (x) = (1 - x)² - (x + 3) (x - 2)
B (x) = 1 - 2x + x² - (x² - 2x + 3x - 6)
B (x) = 1 - 2x + x² - x² + 2x - 3x + 6
B (x) = - x² + x² - 2x + 2x - 3x + 1 + 6
B (x) = - 3x + 7
2)
C (x) = (x + 3) (2x - 1) + (x + 4) (x + 3)
C (x) = (x + 3) (2x - 1 + x + 4)
C (x) = (x + 3) (2x + x - 1 + 4)
C (x) = (x + 3) (3x + 3)
D (x) = (1 - 2x)² - (1 - 2x)
D (x) = 2x (2x - 1)
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Verified answer
Bonsoir,1)
A (x) = (x + 3)² - 4x (1 - x)
A (x) = x² + 6x + 9 - 4x + 4x²
A (x) = x² + 4x² + 6x - 4x + 9
A (x) = 5x² + 2x + 9
B (x) = (1 - x)² - (x + 3) (x - 2)
B (x) = 1 - 2x + x² - (x² - 2x + 3x - 6)
B (x) = 1 - 2x + x² - x² + 2x - 3x + 6
B (x) = - x² + x² - 2x + 2x - 3x + 1 + 6
B (x) = - 3x + 7
2)
C (x) = (x + 3) (2x - 1) + (x + 4) (x + 3)
C (x) = (x + 3) (2x - 1 + x + 4)
C (x) = (x + 3) (2x + x - 1 + 4)
C (x) = (x + 3) (3x + 3)
D (x) = (1 - 2x)² - (1 - 2x)
D (x) = 2x (2x - 1)