Bonjour,

f)

E = (2x - 1)² + (2x - 1)(3x + 5)

E = (2x - 1)(2x - 1) + (2x - 1)(3x + 5)

E = (2x - 1)(2x - 1 + 3x + 5)

E = (2x - 1)(5x + 4)

g)

E = (4x + 1)² + (3x + 8)(4x + 1)

E = (4x + 1)(4x + 1) + (3x + 8)(4x + 1)

E = (4x + 1)(4x + 1 + 3x + 8)

E = (4x + 1)(7x + 9)

h)

E = (2x + 3)² + (x - 8)(2x + 3)

E = (2x + 3)(2x + 3) + (x - 8)(2x + 3)

E = (2x + 3)(2x + 3 + x - 8)

E = (2x + 3)(3x - 5)

i)

E = (3x - 1)(2x + 5) - (3x - 1)²

E = (3x - 1)(2x + 5) - (3x - 1)(3x - 1)

E = (3x - 1)(2x + 5 - (3x - 1))

E = (3x - 1)(2x + 5 - 3x + 1)

E = (3x - 1)(-x + 6)

j)

E = (5x + 4)² - 49

E = (5x + 4)² - 7²

E = (5x + 4 + 7)(5x + 4 - 7) #a² - b² = (a + b)(a - b) c'est une identité remarquable.

E = (5x + 11)(5x - 3)

l)

E = (2x - 3)² - 3(2x - 3)

E = (2x - 3)(2x - 3) - 3(2x - 3)

E = (2x - 3)(2x - 3 - 3)

E = (2x - 3)(2x - 6)