Exercice 3 Factoriser les expressions suivantes. Da A = (-3x + 3)2 - 1 B= (9x-7)(-10x+1)+(-10% +10) (-10x+1) C = 4x2 – 36 – (2x + 6)(-3x – 9) Bonsoir pourriez v

Salut !

A = (-3x+3)²-1

  = (-3x+3)²-1²

  = (-3x+3+1)(-3x+3-1)

  =  (4-3x)(2-3x)

B = (9x-7)(-10x+1)+(-10x+10)(-10x+1)

   = (-10x+1)[(9x-7)+(-10x+10)]

   = (1-10x)(3-x)

C = 4x² - 36 - (2x+6)(-3x-9)

   = (2x)² - 6² - (2x+6)(-3x-9)

   = (2x+6)(2x-6)-(2x+6)(-3x-9)

   = (2x+6)[(2x-6)-(-3x-9)]

   = (2x+6)(5x+3)

☘ Bonsoir

[tex]\green{\rule{6cm}{1mm}}[/tex]

[tex]\boxed{A=(-3x+3)^{2}-1}[/tex]

[tex]\boxed{A=(-3x+3-1)(-3x+3+1)}[/tex]

[tex]\boxed{\boxed{\blue{A=(-3x+4)(-3x+2)}}}[/tex]

[tex]\rule{6cm}{1mm}[/tex]

[tex]\boxed{B=(9x-7)(-10x+1)+(-10x+10)(-10x+1)}[/tex]

[tex]\boxed{B=(-10x+1)(9x-7-10x+10)}[/tex]

[tex]\boxed{\boxed{\blue{B=(-10x+1)(-x+3)}}}[/tex]

[tex]\rule{6cm}{1mm}[/tex]

[tex]\boxed{C=4x^{-2}-36-(2x+6)(-3x-9)}[/tex]

[tex]\boxed{C=(2x-6)(2x+6)-(2x+6)(-3x-9)}[/tex]

[tex]\boxed{\boxed{C=(2x+6)(2x-6+3x+9)}}[/tex]

[tex]\boxed{\boxed{\blue{C=2(x+3)(5x+3)}}}[/tex]

[tex]\green{\rule{6cm}{1mm}}[/tex]

bonne soirée ☺️

#Merci BestBr.... ;)