Bonjour,
Développer:
A(x)=(2x/4-4)(4x+1/3)=(x/2-4)(4x+1/3)= 4x²/2-16x+x/6-4/3
= 2x²-6*16x/6+x/6-4/3= 2x²-96x/6 + x/6-4/3= 2x²-95x/6 + 4/3
B(x)= (x-3/2)(x-3/2)+2= x²-3x/2-3x/2+9/4+2= x²-6x/2+9/4+(4*2/4)= x²-3x+17/4
C(x)= 2x²(3x-1)(4-x)= 2x²(12x-4-3x²+x)= 2x²(-3x²+13x-4)= -6x⁴+26x³-8x²
Factoriser:
A(x)= 3x³-3x= 3x(x²-1)
B(x)= 2²-(3x-1)²= (2-3x+1)(2+3x-1)= (-3x+3)(3x+3)= -3(x-1)(3x+1)
C(x)= 2(3x+1)²-(5-x)(3x+1)= (3x+1)(2(3x+1)-5+x)= (3x+1)(6x+2-5+x)= (3x+1)(7x-3)
D(x)= (x-3)²-1 -2(x-2)²=x²-6x+9-1-2(x²-4x+4)=x²-6x+8-2x²+8x-8=-x²+2x= -x(x-2)
