Réponse :
Bonjour
a² + 2ab + b² = (a + b)²
1) x² + 10x + 25 = (x + 5)²
2) 9x² + 6x + 1 = (3x + 1)²
3) 2y + 1 + y² = (y + 1)²
4) 4x² + 20x + 25 =(2x + 5)²
a² - 2²b + b² = (a - b)²
1) x² - 8x + 16 = (x - 4)²
2) 9x² - 6x + 1 = (3x - 1)²
3) z²- z + 1/4 = (z - 1/2)²
4) 25 + 25x² - 50x = (5x - 5)²
a² - b² = (a + b)(a - b)
1) a² - 144 = a² - 12² = (a + 12)(a - 12)
2) 9x² - 16 = (3x)² - 4² = (3x + 4)(3x - 4)
3) x²/4 - 4/9 = (x/2)² - (2/3)² = (x/2 + 2/3)(x/2 - 2/3)
4) x² - 7 = x² - (√7)² = (x + √7)(x - √7)