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Identités remarquables : introduction
Les 3 identités remarquables
Activité
(3x + 4)(3x - 4)
(5x + 3)²
(4x + 5)(4x - 5)
(6x - 5)²
(3x + 7)²
(6x + 4)²
Calculer (3x + 4)(3x - 4)
(3x + 4)(3x - 4)
= 9x² -12x + 12x -16
= 9x² - 16
Calculer (5x + 3)²
(5x + 3) (5x + 3)
= 25x² + 15x + 15x +9
= 25x²+ 30x +9
Calculer (6x - 5)²
(6x - 5) (6x - 5)
= 36x² - 30x - 30x +25
= 36x²- 60x +25
Calculer (3x + 7)²
(3x + 7) (3x + 7)
= 9x² + 21x + 21x +49
= 9x² + 42x + 49
Calculer (4x + 5)(4x - 5)
(4x + 5)(4x - 5)
= 16x² -20x + 20x -25
= 16x² - 25
Calculer (6x + 4)²
(6x + 4) (6x + 4)
= 36x² + 24x + 24x +16
= 36x²+ 48x +16
Calculer (4x + 5)²
(4x + 5) (4x + 5)
= 16x² + 20x + 20x +25
= 16x²+ 40x +25
Calculer (1 + 6x)²
(1 + 6x) (1 + 6x)
= 1 + 6x + 6x +36x²
= 1 + 12x + 36x²
Calculer (1 - 5x)²
(1 - 5x) (1 - 5x)
= 1 - 5x - 5x +25x²
= 1 - 10x + 25x²
Calculer (6 + 5x)(6- 5x)
(6 + 5x)(6- 5x)
= 36 -30x + 30x -25x²
= 36 - 25x²
(3x + 4)(3x - 4) = 9x² - 16
(5x + 3)² = 25 x² + 30x + 9
(4x + 5)(4x - 5) = 16x² - 25
(6x - 5)² = 36 x² - 60x + 25
(3x + 7)² = 9 x² + 42x + 49
(6x + 4)² = 36 x² + 48x + 16
(3x + 4)(3x - 4) = 9x² - 16
(5x + 3)² = 25 x² + 30x + 9
(4x + 5)(4x - 5) = 16x² - 25
(6x - 5)² = 36 x² - 60x + 25
(3x + 7)² = 9 x² + 42x + 49
(6x + 4)² = 36 x² + 48x + 16
(3x + 4)(3x - 4) = 9x² - 16
(5x + 3)² = 25 x² + 30x + 9
(4x + 5)(4x - 5) = 16x² - 25
(6x - 5)² = 36 x² - 60x + 25
(3x + 7)² = 9 x² + 42x + 49
(6x + 4)² = 36 x² + 48x + 16
Calculer (a + b)²
(a + b)² (a + b)(a + b)
= a²+ ab + ab +b²
= a² + 2ab +b²
=
Calculer (a - b)²
(a - b)² = (a - b) (a - b)
= a² - ab - ab +b²
= a² - 2ab +b²
Calculer (a + b)(a - b)
(a + b) (a - b)
= a² - ab + ab -b²
= a² - b²
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