Bonsoir,
I= (x + 2)² + (x + 2)(4x - 9)
= x²+2x+2x+4+4x²+8x-9x-18= 5x²+3x-17
I= (x+2)(x+2+4x-9)= (x+2)(5x-7)
J= (x+2)(x-2)+(2x-6)(3x+6)
= x²-2x+2x-4+6x²-18x+12x-36= 7x²-6x-40
J= (x+2)(x-2)+3(2x-6)(x+2)= (x+2)(x-2+3(2x-6))= (x+2)(x-2+6x-18)= (x+2)(7x-20)
K= (x + 2)² + x² - 4
= x²+2x+2x+4+x²-4= 2x²+4x
K= (x+2)(x+2)+(x-2)(x+2)= (x+2)(x+2+x-2)= (x+2)(2x) = 2x(x+2)
x² + 4x + 4 est une identité remarquable (x+2)²
M= 3x² - 12 + x + 2= 3x²+x-10
M= (x+2)(3x-5)
N= x₄ - 16= (x+2)(x-2)(x²+4)
