Bonsoir,
Réponse:
Rappels :
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²
a² - b² = (a + b)(a - b)
K = 8x² - 8x + 2 + (1 - 2x)(3x - 5)
K = 2(4x² - 4x + 1) - (2x - 1)(3x - 5)
K = 2(2x - 1)² - (2x - 1)(3x - 5)
K = (2x - 1)[2(2x - 1) - (3x - 5)]
K = (2x - 1)(4x - 2 - 3x + 5)
K = (2x - 1)(x + 3)
L = ( x + 1 )² - ( 3x - 2 )² + (4x - 1)(7x - 4)
L = [x + 1 - (3x - 2)] [x + 1 + (3x - 2)] + (4x - 1)(7x - 4)
L = (x + 1 - 3x + 2)(x + 1 + 3x - 2) + (4x - 1)(7x - 4)
L = ( - 2x + 3)(4x - 1) + (4x - 1)(7x - 4)
L = (4x - 1)(- 2x + 3 + 7x - 4)
L = (4x - 1)(5x - 1)
M = 9x² - 25 - (9x + 15)(5x - 6) + 9x² + 30x + 25
M = (3x - 5)(3x + 5) - 3(3x + 5)(5x - 6) + (3x + 5)²
M = (3x + 5) [(3x - 5) - 3(5x - 6) + (3x + 5)]
M = (3x + 5)(3x - 5 - 15x + 18 + 3x + 5)
M = (3x + 5)(- 9x + 18)
En espérant t'avoir aidé, bonne continuation ! ☺️
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Lista de comentários
Bonsoir,
Réponse:
Rappels :
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²
a² - b² = (a + b)(a - b)
K = 8x² - 8x + 2 + (1 - 2x)(3x - 5)
K = 2(4x² - 4x + 1) - (2x - 1)(3x - 5)
K = 2(2x - 1)² - (2x - 1)(3x - 5)
K = (2x - 1)[2(2x - 1) - (3x - 5)]
K = (2x - 1)(4x - 2 - 3x + 5)
K = (2x - 1)(x + 3)
L = ( x + 1 )² - ( 3x - 2 )² + (4x - 1)(7x - 4)
L = [x + 1 - (3x - 2)] [x + 1 + (3x - 2)] + (4x - 1)(7x - 4)
L = (x + 1 - 3x + 2)(x + 1 + 3x - 2) + (4x - 1)(7x - 4)
L = ( - 2x + 3)(4x - 1) + (4x - 1)(7x - 4)
L = (4x - 1)(- 2x + 3 + 7x - 4)
L = (4x - 1)(5x - 1)
M = 9x² - 25 - (9x + 15)(5x - 6) + 9x² + 30x + 25
M = (3x - 5)(3x + 5) - 3(3x + 5)(5x - 6) + (3x + 5)²
M = (3x + 5) [(3x - 5) - 3(5x - 6) + (3x + 5)]
M = (3x + 5)(3x - 5 - 15x + 18 + 3x + 5)
M = (3x + 5)(- 9x + 18)
En espérant t'avoir aidé, bonne continuation ! ☺️