Sagot :
A=(x²+x+3)(x-2)
=x³-2x²+x²-2x+3x-6
=x³-x²+x-6
B=(x-2)²-(x+2)2
=x²-4x+2-2x-4
=x²-6x-2
Factoriser:
C=(2x+1)²-(5x-3)²
=(2x+1-5x+3)(2x+1+5x-3)
=(-3x+4)(7x-2)
D=9x²-1+(6x-2)(x-4)
=(3x+1)(3x-1)+2(3x-1)(x-4)
=(3x-1)(3x+1+2x-8)
=(3x-1)(5x-7)
=x³-2x²+x²-2x+3x-6
=x³-x²+x-6
B=(x-2)²-(x+2)2
=x²-4x+2-2x-4
=x²-6x-2
Factoriser:
C=(2x+1)²-(5x-3)²
=(2x+1-5x+3)(2x+1+5x-3)
=(-3x+4)(7x-2)
D=9x²-1+(6x-2)(x-4)
=(3x+1)(3x-1)+2(3x-1)(x-4)
=(3x-1)(3x+1+2x-8)
=(3x-1)(5x-7)