Factoriser les expression
A(x) = 16xau carré -7x
B(x)= 36x au carre - 12x +1
C(x)= (3x+5) tout au carre +(3x+5)(7x+4)
D(x)=36-(3x+8) au carre


Sagot :

XXX102

Bonsoir,

 

[tex]A\left(x\right) = 16x^2-7x\\ A\left(x\right) = x\left(16x-7\right)\\ \\ B\left(x\right) = 36x^2-12x+1\\ B\left(x\right) = \left(6x\right)^2-2\times 6x\times 1 +1\\ B\left(x\right) = \left(6x-1\right)^2\\ \\ C(x) = (3x+5)^2+(3x+5)(7x+4)\ C(x) = (3x+5)[(3x+5)+(7x+4)]\\ C(x) = (3x+5)(3x+5+7x+4)\\ C(x) =(3x+5)(10x+9)\\ \\ D(x) = 36-(3x+8)^2\\ D(x) = 6^2-(3x+8)^2\\ D(x) =[6-(3x+8)][6+(3x+8)]\\ D(x) = (6-3x8)(6+3x+8)\\ D(x) = (-3x-2)(3x+14) [/tex]