Answered

bonjour, comment factoriser :

F=(4-2x)(3x+2)-(3x-6)(x+1)

G=(5x+6)(x+2)+x(10x+12)-5x-6

Sagot :

F=(4-2x)(3x+2)-(3x-6)(x+1)
  =2(2-x)(3x+2)-3(x-2)(x+1)
  =2(2-x)(3x+2)+3(2-x)(x+1)
  =(2-x)(2(3x+2)+3(x+1))
  =(2-x)(6x+4+3x+3)
  =(2-x)(9x+7)

G=(5x+6)(x+2)+x(10x+12)-5x-6
  =(5x+6)(x+2)+2x(5x+6)-(5x+6)
  =(5x+6)(x+2+2x-1)
  =(5x+6)(3x+1)